Computational Engineering and Science for Safety and Environmental Problems
A minisymposium consists of one or more technical sessions that focus on a specific topic or research area in the scope of COMPSAFE. The technical sessions provide a flexible format that accommodates keynote lectures, invited, and contributed papers. Volunteer minisymposium organizers will develop each minisymposium individually. The organizers are responsible for the technical contents of their minisymposia; they select the invited participants, and review abstracts of contributed papers.
All proposals must be submitted electronically via the Conference web site. There should be at least two organizers for each minisymposium, and it is desirable that they represent more than one institution. The deadline for minisymposia proposals is June 30, 2019.
MS-01：Frontiers of Nonlinear, Impact and Instability Analysis of Solids and Structures
Daigoro Isobe* (University of Tsukuba, Japan), Kostas Danas (École Polytechnique, France), Jinkoo Kim (Sungkyunkwan University, South Korea), Yunwei Mao (Massachusetts Institute of Technology, USA), Dai Okumura (Nagoya University, Japan), Shingo Ozaki (Yokohama National University, Japan), Hiroyuki Yamada (National Defense Academy, Japan)
Catastrophic failures of solids and structures occurred daily are mainly caused by sudden, extreme external loads such as aircraft collision, explosion, large seismic excitation, tsunami, typhoon, tornado, and big fire. These failures of solids and structures are often connected to their nonlinear behaviors and instabilities that can occur in various application fields. In many applications, harnessing the potential of such nonlinearity hinges on whether the deformation, failure, and instabilities of solids and structures can be understood, prevented, or controlled. Recently, researchers are planning to take advantage of the presence of nonlinear behaviors and instabilities in order to design solids and structures that have advantageous properties. Analyzing these phenomena requires the development of new modeling and computational approaches and techniques. The main purpose of this mini-symposium is to bring together researchers and academics who work in the fields mentioned above, and to discuss the state-of-the-art theories and computational methods applied to nonlinear, impact and instability problems of solids and structures.
Topics of interest include (but are not limited to):
Impact problems, structural collapse problems, material failure, nonlinear analysis, instability problems, friction, self-healing materials/behavior.
MS-02：Multiscaling for Safety and Environmental Problems
Akiyuki Takahashi* (Tokyo University of Science, Japan), Yuichi Tadano (Saga University, Japan), Tong-Seok Han (Yonsei University, Korea)
This minisymposim focuses on the developments and applications of computational methods for multiscale modeling and analyses with a view to safety assessment of materials and structures, including all pending challenges. In this context, a class of computational homogenization methods must be one of the promising strategies for determining the effective behavior of complex and highly heterogeneous materials, and for computing the response of structures composed of these materials. Also, multiscale materials modeling using the hierarchy of simulation techniques and coupling techniques from first principles to continuum must be another approach for exploring thoroughly the physical picture of complex material deformation behavior. Although some of the methods are of great utility value even in practical applications and seems to be mature in the field of computational mechanics, there must be some room for further development in view of safety and environmental engineering.
The topics covered include (but not limited to):
1. Heterogeneous, time-dependent and nonlinear material behavior, including material dynamics;
2. Heterogeneous materials with coupled multi-physics behavior (phase change, chemo-mechanics, nonlinear thermo-mechanics...), including extended homogenization schemes;
3. Materials with a complex physical geometry, e.g. provided by high resolution 3D imaging techniques;
4. Multiscale damage modeling, capturing the transition from homogenization to localization;
5. Computational homogenization including size and second-order effects;
6. Microstructures with complex interfaces
7. Multiscale simulations with non-local phenomena like cracks, instabilities or shear bands;
8. Reduction of computational costs associated with multiscale algorithms;
9. Integration of phenomena occurring at nanoscale;
MS-03：Computational Damage and Fracture Analyses on Engineering Structures
Kiminobu Hojo (Mitsubishi Heavy Industries, Ltd., Japan), Padraic O’Donoghue, (University of Ireland, Ireland), Zhuo Zhuang (Tsinghua University, China), Toshio Nagashima (Sophia University, Japan), Yoshitaka Wada (Kindai University, Japan), X. Fan (Xi'an Jiaotong University, China), Hiroshi Okada* (Tokyo University of Science, Japan)
The safeties and reliabilities of artifacts, such as power plants, automobile, ships, aircrafts, bridges, buildings, the other infrastructures, etc., are increasingly demanded. Their failure/fracture predictions give useful information to assure their safeties and reliabilities, such as their residual lives and ultimate load carrying capacities. In this minisymposium, we will discuss i) theories, ii) computational methodologies, iii) industrial applications and iv) any related topics in the field of computational damage and fracture analyses.
MS-04：Advances in Impact/Blast Analyses
Masuhiro Beppu* (National Defense Academy, Japan), Akemi Nishida (Japan Atomic Energy Agency, Japan), Masato Komuro(Muroran Institute of Technology, Japan), Thong Pham (Curtin University, Australia)
Extreme natural disasters such as falling rock, debris flow, tornado, volcanic eruption, earthquake, tsunami, and typhoon have historically threatened human lives and man-made structures. In addition to the natural disasters, anthropogenic disasters such as aircraft impact, vehicle impact, bombing terrorism and explosions in chemical plants have attracted researchers and engineers for protecting humans and developing design methods for constructing protective structures. To this end, investigating the failure mechanisms of protective structures is indispensable by analyzing the impact and blast phenomena. The main purpose of this mini-symposium is to bring together researchers and engineers working in the aforementioned research fields, and to discuss state-of-the-art computational methods with regard to impact and blast problems of solids and structures.
Topics of interest include (but are not limited to):
Impact problems, blast problems, dynamic material characteristics, nonlinear analysis.
MS-05：Structural Optimization for Creating a Better Society
Shintaro Yamasaki* (Osaka University, Japan), Junji Kato (Nagoya University, Japan), Akihiro Takezawa (Hiroshima University, Japan), Gil Ho Yoon (Hanyang University, Korea)
This mini-symposium is intended to discuss the development of novel structural optimization methods for creating a better society. Now, we are surrounded by a lot of functional devices and artifacts, which play important roles for improving our quality of life, and their performances often strongly depend on their own structures. On the other hand, designing structural shape and topology of those devices and artifacts is a difficult task for designers because they must find a satisfactory solution in a large design space while considering many requirements. Structural optimization, which is roughly classified into sizing, shape, and topology optimizations, is a promising design methodology for the above task because it can find the optimal, at least a locally optimal, solution on the basis of mathematics and physics.
This mini-symposium expects to foster the exchange of the ideas and the information about fundamental and application aspects of structural optimization.
Topics of interest include:
Fundamental improvements of sizing, shape, and topology optimizations, including level-set- and phase-field-based methods. Applications of sizing, shape, and topology optimization methods for creating a better society; the organizes suppose sustainability, safety, and emergency management as representative application fields, but not restricted into them.
MS-06：Multi-Stage Failure Simulations
Mao Kurumatani*(Ibaraki University, Japan), Yoshihito Yamamoto (Nagoya University, Japan), Kenjiro Terada (Tohoku University, Japan), Norio Takeuchi (Hosei University, Japan), John E Dolbow (Duke University, USA)
Most materials and structures result in multiple stages of failure; deterioration, damage, crack formation and propagation and collapse, involving various time-scale and spatial-scale. Multi-stage failure simulations target such phenomena with multi-mechanisms and necessitates novel numerical simulation schemes to reproduce the step-by-step failure behavior of materials and structures. This mini-symposium is open to contributions on computational modeling of damage, cracking or fracture behavior at any failure stage and bridging techniques of different failure stages. We also welcome experimental determinations and measurements to demonstrate the validity of computational modeling and to compare with numerical results.
MS-07：Resilience of Built Environment against Extreme Disaster
Hideo Fujitani (Kobe University, Japan), Yoichi Mukai* (Kobe University, Japan), Erik A. Johnson (University of Southern California, USA), Richard Christenson (University of Connecticut, USA), Gilberto Mosqueda (University of California San Diego, USA)
Huge earthquakes, mega typhoons, and tsunami have high potential for damaging the human environment in the near future. To protect buildings, infrastructures and important facilities in urban areas against extreme disasters, the required countermeasure is not only damage reduction but also ensuring resilience in order to recover urban facilities' functions rapidly after the disasters. The purpose of this mini-symposium is put on to discuss the resilient structure systems/devices/designs that contribute to the urban formation of resilience and robustness against disasters.
Topics of interest include (but are not limited to):
Resilient structural system, structural response control, high-performance material, structural retrofit, structural health monitoring, online hybrid simulation, onsite sensing and visualization.
MS-08：Computational Methods for Water Environmental Problems and Coastal/Flood Disaster Mitigation
Kazuo Kashiyama (Chuo University, Japan), Joannes Westerink (University of Notre Dame, USA), Clint Dawson (University of Texas at Austin, USA), Ethan Kubatoko (Ohio State University, USA), Seizo Tanaka* (University of Tsukuba, Japan)
The scope of this mini-symposium is to discuss the development of simulation methods for natural disasters such as tsunamis, floods, storm surges, landslides, etc. Simulation of these types of events is crucial to the prediction of resulting damages. This mini-symposium will examine the latest developments in computational methods useful for disaster prevention and disaster mitigation.
Topics of interest include: Fluid Flow Mechanics, Damage Estimation, Mitigation Simulation, Methodology of Numerical Simulation for Natural Disaster, Fluid-Structure Interactions, High-performance computing, Error analysis, verification and validation
MS-09：Numerical Methods and Simulation in Geomechanics (co-organized by Technical Committee 103, ISSMGE; International Society for Soil Mechanics and Geotechnical Engineering)
Kazunori Fujisawa* (Kyoto University), Shuji Moriguchi (Tohoku University), Giovanna Biscontin (University of Cambridge)
The mechanical behavior of soils is complex and significantly related to intergranular water flow. Hence, for example, sophisticated constitutive modelling of soils and fully coupled analysis of the solid and water phases have been conducted in the field of soil mechanics and geotechnical engineering. Presentations of numerical approaches oriented toward geomechanics are welcomed. The mini-symposium discusses numerical treatment for the soil behavior, such as large deformation and elasto-plasticity of soils, dynamic or seismic response of soil structures, and soil-fluid interaction.
MS-10：High Performance Computing for Environmental Problems
Ryuji Shioya* (Toyo University, Japan), Gabriel Wittum(Goethe University Frankfurt, Germany), Moon Ki Kim (Sungkyunkwan University, Korea), Masao Ogino (Daido University, Japan)
Efficient computational solution of high fidelity large-scale problems in computational science and engineering is still a major challenge.
Complex applications include difficulties such as transient problems with widely varying time and spatial scales, strongly coupled multiphysics, heterogeneous media, nonlinearlities, etc. The development of efficient linear system solvers for these classes of problems has many challenges, especially for high fidelity large-scale simulations. This minisymposium will focus on high performance computing, parallel computing, large scale problems, highly scalable preconditioners, e.g. multigrid or domain decomposition approaches, multiphysics solvers, nonlinear preconditioning, multiscale solvers for heterogeneous problems or space-time solvers and related topics for environmental problems. Contributions discussing algorithms that can exploit many-core processors and accelerators are also welcomed.
MS-11：Computational Methods and Modeling for Disaster Prevention and Mitigation
Tomonori Yamada* (The University of Tokyo, Japan), Rong Tian (Chinese Academy of Sciences, China), Shinobu Yoshimura (The University of Tokyo, Japan)
It is now highly demanded to quantitatively assess various types of risks for disaster prevention and mitigation caused by external as well as internal hazards. For such purposes, computer simulations are regarded as the most powerful and reliable methods. This mini-symposium aims to gather recent developments on such computational technologies in finite elements, finite difference, finite volume, meshless and particle methods as well as the high performance computing techniques. The phenomena to be addressed are solid, fluid, thermal, multi-physics and multi-scale phenomena.
MS-12：Particle Methods for Safety and Engineering Problems
Seiya Hagihara* (Saga University, Japan), Seiichi Koshizuka (The University of Tokyo, Japan)，Mikio Sakai(The University of Tokyo, Japan), Shunying Ji (Dalian University of Technology, China)
Particle methods, meshfree methods and related methods have been developed in computational mechanics fields. This mini-symposium titled “Particle Methods for Safety and Engineering Problems” is intended to discuss studies of these methods ranging from basic mathematical theories to applications for disaster and industry etc. until now. It has been shown that these methods have potentials to solve complex multi-physics problems. Applications of large-scale and parallel computation for these methods are also intended to discussed by using GPU (Graphics Processing Unit) and other systems. The purpose of this mini-symposium is also to provide discussions for researchers of particle methods, meshfree methods, and related methods for safety and engineering problems to share their recent knowledge and advanced insights among engineers, mathematicians, computer scientists, and industrial researchers.
Topics of interest include:
Particle methods and related methods, Meshfree methods and related methods, Mathematical theory, Multi physics analysis, Applications, Imposition of boundary conditions, Numerical accuracy, Adaptive analysis, Parallel processing, Large scale analysis
MS-13：HPC-based Simulations for the Wide Industrial Realm: Aerospace, Automotive, Bio, Construction, Heavy, etc.
Makoto Tsubokura* (RIKEN, Japan), Mariano Vazquez (Barcelona Supercomputing Center, Spain), Takayuki Aoki (Tokyo Institute of Technology, Japan), Andreas Lintermann (RWTH Aachen University, Jülich Aachen Research Alliance Center for Simulation and Data Science, Germany)
Supercomputers have made available to researchers an unprecedented amount of computing power. But "power without grip is useless": this availability of thousands of processors to compute must be accompanied with a steep evolution in software development based on HPC techniques, to open a completely new way of facing the most complex simulation problems of Computational Physics and Engineering. Especially in technology niches such as industrial, energy, environmental or biomechanical applications, treatment of complicated or coupled phenomena of fluid and solid motions are always a big issue, which always require as much computer resource as possible.
Thus the objective of this Mini-Symposium is to communicate and discuss issues and perspectives of HPC simulation, targeting industrial applications which cover fields of such as bio, automotive, aerospace, pharmacology, energy, environmental and so on. The expected topics should include algorithms, simulation strategies, and programming techniques for the kind of complex simulations of fluid/solid phenomena (usually including coupled multiphysics) requiring massively HPC environment. Parallel issues such as the robustness and performance analysis, and introduction of pre- and post-processing techniques such as CAD integration, mesh generation or visualization are also welcome. It is preferable, but not indispensable, that authors include some numerical results of the applications to discuss the validity of the proposed methods.
MS-14：Advances in Numerical Methods for Earthquake Disaster Mitigation of/in Buildings
Takuzo Yamashita* (National Research Institute for Earth Science and Disaster Resilience, Japan), Yasuyuki Nagano (University of Hyogo, Japan), Makoto Ohsaki (Kyoto University, Japan), Daigoro Isobe (University of Tsukuba, Japan), Peng Pan (Tsinghua University, China), Manolis Papadrakakis (National Technical University of Athens, Greece)
Designing new building structures with enough seismic resistance and upgrading performance of existing structures against largest possible seismic events are required for mitigation of earthquake disaster. In addition, estimation of damage of buildings suffered from earthquake disaster is essential for emergency response, recovery and reconstruction. For this purpose, it is important to develop numerical methods of accessing earthquake resistance performance, predicting damage of structures, and evaluating the effect of the devices for reduction of seismic responses.
Recently, high-fidelity models have been developed for seismic response analyses of buildings including non-structural components such as furniture, doors, ceilings, walls and equipment leveraging a large-scale parallel computing. By the advanced numerical method, both structural and nonstructural damage can be simulated in detail and earthquake-resistance performance of devices such as braces, steel dampers for passive control and rubber bearings for base isolation can be investigated precisely.
In this mini-symposium, we share recent developments of research on high-fidelity seismic response simulation of building structures including non-structural component and earthquake-resistance devices and their application to seismic design and disaster response. We also discuss issues on modeling and mesh generation, visualization and V&V, in relation to recent trends of machine learning, optimization, data-driven approach, and advanced numerical algorithms.
MS-15：Physics-based Simulation of Earthquake Hazards with HPC and HQC
Takane Hori* (Japan Agency for Marine-Earth Science and Technology, Japan), Tsuyoshi Ichimura (The University of Tokyo, Japan), Thorsten Becker (University Texas at Austin, USA), Alice-Agnes Gabriel (LMU Munich, Germany), Kengo Nakajima(University of Tokyo, Japan)
Scope of this mini-symposium is to discuss developments and directions for large scale hazard and disaster simulation related earthquakes and tsunamis using high performance computing technology for high quality computing. Broadband aspects from earthquake engineering to seismology are expected with a special emphasis on use of super computers, for example, structural response, soil amplification, city and social response, evacuation, recovery, fluid-structure coupling, global tsunami propagation, local tsunami run-up, earthquake ground motion, crustal deformation, earthquake cycle and the other related issues in earthquake, tsunami, and other geo-hazards.
MS-16：Computational Materials Science: Phase-Field and Related Methods
Tomohiro Takaki* (Kyoto Institute of Technology, Japan), Damien Tourret (IMDEA Materials Institute, Spain), Munekazu Ohno (Hokkaido University, Japan)
This minisymposium invites presentations regarding computational materials science. Although we are mainly interested in the following topics, the presentation is not limited to those.
Topics of interest
- Solidification, phase transformation, recrystallization, and grain growth
- Phase-field method, cellular automaton, molecular dynamics, crystal plasticity, and finite element method
- Multi-physics approaches, multi-scale approaches, and data science
MS-17：Hyper-Complex Disaster Simulation
Mitsuteru Asai* (Kyushu University, Japan), Kenjiro Terada (Tohoku University, Japan), Shinsuke Takase (Hachinohe Institute of Technology, Japan), Roland Wüchner (Technical University of Munich, German), Miguel Ángel Celigueta (Internatinal Centre for Numerical Methods in Engineering, Spain), Antonia Larese De Tetto(University of Padova, Italy)
This mini-symposium is intended to discuss the development of novel simulation methods for a variety of natural disasters such as tsunami, flood, storm surge, landslide and etc., which are associated with advanced fluid modeling and analysis schemes. Since the problems to be solved have the nature of multiphase, multiphysics, multiscale and multistage phenomena, our numerical simulations inevitably become "hypercomplex". For example, the methods of numerical simulations necessitate the treatment of moving interface such as water surface and run-up waterfront, the representation of transition from solid to fluid and the characterization of fluid-solid interaction. Also, the capabilities of these simulation methods are demonstrated with reasonable verification strategies and the simulation results must be validated whether or not high accuracy is guaranteed with reference to reliability experimental data. This mini-symposium expected to foster the exchange of the ideas and the information about the related numerical schemes so as to be contributory to disaster prevention and mitigation in the near future.
Topics of interest include:
Methodology of numerical simulations for natural disaster modeling of tsunami, flood and storm surge, Modeling of boulder flow, landslide and avalanche, Fluid-structure interaction simulations, Damage estimation for structures, Disaster prevention and mitigation, Uncertainty quantification, Verification and validation, Data-driven approaches and etc. Enhancement of individual numerical schemes in finite elements, finite difference, finite volume and particle methods.
MS-18：Reliability and Safety of Composite Structures
Masahiro Arai* (Nagoya University, Japan), Marino Quaresimin (University of Padova, Italy), Tetsuya Matsuda (University of Tsukuba, Japan), Keita Goto (Nagoya University, Japan)
In this mini symposium, safety and reliability of composites, which are carbon fiber reinforced plastic (CFRP), a particle reinforced plastic and a metal matrix composites and so on, are discussed. Presentations in terms of the strength, damage, fatigue, vibration and optimization about composites demonstrated by computational mechanics are welcomed.
MS-19：Uncertainty Modeling in Engineering Simulation and Biomedical Simulation
Naoki Takano*(Keio University, Japan), Heong Jae Chun (Yonsei University, Korea), Tetsuya Matsuda (University of Tsukuba, Japan), Shinya Yamamoto (Shimizu Corporation, Japan)
The uncertainty quantification (UQ) is becoming a matter of concern in both academic research and industrial CAE activities in wide area including mechanical engineering and civil engineering. With the progress of IoT technologies, we will obtain huge data with variability. The interaction between data in the real world and numerical model, and the synergetic impact on the design and manufacturing will be discussed through presentations on the uncertainty modeling for probabilistic/stochastic simulation. The uncertainty modeling is also important in the biomedical simulation, because there are many unknown parameters in the biomedical simulation and because validation of the numerically predicted quantity is very hard or impossible. Collecting all recent research works in many directions on the theoretical studies, numerical techniques and practical applications in engineering and biomedical field, the quality assurance of the simulation, risk management, innovative design and the contribution to biomedical field will be discussed in this mini-symposium.
MS-20：Computational Mechanics on Smart Materials and Structures for Safety
Heung Soo Kim* (Dongguk University, Korea), Junyoung Park (Kumoh National Institute of Technology), Jun-Sik Kim (Kumoh National Institute of Technology), Gil Ho Yoon (Hanyang University, Korea), Do-Nyun Kim (Seoul National University, Korea), Seunghwa Yang (Chung-Ang University, Korea)
This symposium will provide a forum for discussions from fundamental research to engineering applications in the fields of computational mechanics on smart materials and structures. Interested researchers are invited to submit papers on related topics which include, but not limited to:
• Shape Memory Polymers
• Graphene-based hybrids and structures • Smart Composite Structures • Piezoelectric Sensors and Actuators • Multi-functional Structures • Structural Battery • Smart Biomaterials and Molecular Structures • Computational Evacuation Dynamics
MS-21：Data Assimilation and Uncertainty Quantification for Safety and Environmental Problems
Takemasa Miyoshi* (RIKEN), Serge Guillas (University College London), Hiromichi Nagao, Earthquake Research Institute (University of Tokyo), Brad Weir (NASA Goddard Space Flight Center), Hiroshi Nishiura (Hokkaido University)
Recent advancement of high-performance computation (HPC) enabled more precise and realistic simulations of complex phenomena related to various safety and environmental problems such as high-impact weather, earthquakes, tsunami, and infectious diseases. For real-time prediction and control, data assimilation (DA) and uncertainty quantification (UQ) play vital roles in synchronization and synergy of the HPC-based simulations with real-world data. This mini-symposium aims to bring together a broad range of researches on the theory and applications of DA and UQ in various topics of safety and environmental problems, and to discuss about the future perspectives.
MS-22：Multiscale modeling of the failure of crystalline and amorphous metals from nano to macro
Seunghwa Ryu* (Korea Advanced Institute of Science and Technology), Sung Youb Kim (Ulsan National Institute of Science and Technology),
Byeongchan Lee (Kyunghee University), Keonwook Kang (Yonsei University)
Advanced metallic materials are widely utilized in a variety of manufacturing and structural engineering industries as indispensable ingredients. Understanding and predicting its failure is crucial for the reliable design of most tools, vehicles, and structures in the modern society. With ever increasing computational power and continued advancement of modeling techniques, the failure of metallic systems can now be understood and predicted from atomic scale defect initiation to macroscale plastic deformation. This mini-symposium aims to bring together researchers work in modeling the failure of both crystalline and amorphous metallic systems at a wide range of length and time scale, and to discuss the state-of-the-art modeling techniques adequate for each scale as well as scale-bridging methods to seamlessly integrate the simulation results from different scales.
MS-23：Multiscale and Multiphysics Computational Approach on the Failure, Damage and Durability Issues of Complex Structures and Large-Scale Systems
Maenghyo Cho* (Seoul National University), Seunghwa Yang (Chung-Ang University),
Janghyuk Moon (Chung-Ang University), Jaehun Lee (Kyungnam University)
This minisymposium will provide a forum for multiscale and multiphysics computational modeling and simulation strategies for the durability-related issues in complex structures including nano- and macroscale composites and large scale systems such as transportation and infrastructures. The durability issues of load-bearing structures and materials involve extreme spatial scale phenomena of the change of chemical structure of condensed matters and macroscale catastrophic failure of the systems. The participants to this minisymposium are encouraged to present and discuss novel computational modeling and simulation techniques and tools against the failure, damage evolution, and environmental aging of materials and structures. To understand the physics behind these phenomena and develop the structure-to-property relationships, combinatory applications of quantum mechanics (QM), molecular mechanics (MM), molecular dynamics (MD), and Monte-Carlo (MC) simulation techniques can be c!
onsidered. Combined efforts to scale bridge these computational tools to the existing theories are the key issues for the application of the multiscale modeling and simulation techniques to the durability issues. To overcome the gap between extreme scale simulations and large scale predictive algorithms in continuum mechanics over a long temporal scale, development and validations of more efficient while still accurate computational techniques such as reduced order modeling and optimization techniques are of primary concerns in this minisymposia.
Topics of interests will be (but not limited to)
- Atomistic modeling of damage, defect, and fractures in condensed matters and composites
- Durability of energy materials including battery, capacitors, electronics
- Prediction of the degradation of materials and structures due to the aging and damage
- Computational and multiscale fracture mechanics and cohesive FEM
- Application of peridynamics approach for complex structures.
- Micromechanics and damage mechanics of heterogeneous structures
- Efficient model-order reduction methods for managing massive computational requirements