This review begins with the description of a new challenge in solid mechanics: multiphysics and multiscale coupling, and its current situations. By taking spallation as an example, it is illustrated that the fundamental difficulty in these multiscale nonequilibrium problems is due to the hierarchy and evolution of microstructures with various physics and rates at various length levels in solids. Then, some distinctive thoughts to pinpoint the obstacles and outcome are outlined. Section 3 highlights some paradigms of statistical averaging and new thoughts to deal with the problems involving multiple space and time scales, in particular the nonequilibrium damage evolution to macroscopic failure. In Sec. 4, several frameworks of mesomechanics linking multiple space and time scales, like dislocation theory, physical mesomechanics, Weibull theory, and stochastic theory, are briefly reviewed and the mechanisms underlying the trans-scale coupling are elucidated. Then we turn to the frameworks mainly concerning damage evolution in Sec. 5, namely, statistical microdamage mechanics and its trans-scale approximation. Based on various trans-scale frameworks, some possible mechanisms governing the trans-scale coupling are reviewed and compared in Sec. 6. Since the insight into the very catastrophic transition at failure is closely related to strong trans-scale coupling, some new concepts on nonequilibrium and strong interaction are discussed in Sec. 7. Finally, this review is concluded with a short summary and some suggestions. “This review article cites 130 references.”
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November 2005
Review Articles
Statistical Mesomechanics of Solid, Linking Coupled Multiple Space and Time Scales
Y. L. Bai,
Y. L. Bai
State Key Laboratory of Non-linear Mechanics (LMN), Institute of Mechanics,
Chinese Academy of Sciences
, Beijing 100080, P. R. China
Yilong Bai graduated from the University of Science and Technology of China in 1963. Since graduation, he has been an Assistant Professor, Associated Professor, and Full Professor at the Institute of Mechanics, Chinese Academy of Sciences. In 1991, he was elected Member of Chinese Academy of Sciences. His research is involved in impact dynamics and damage mechanics. Bai has published over 150 research papers and two monographs. He serves ad Editor-in-Chief of the journal “Science in China,” and is an editorial board member of the “International Journal of Impact Engineering” and “Acta Mechanics of Sinica.”
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H. Y. Wang,
H. Y. Wang
State Key Laboratory of Non-linear Mechanics (LMN), Institute of Mechanics,
Chinese Academy of Sciences
, Beijing 100080, P. R. China
Haiying Wang obtained her B.Eng. degree from Zhejiang University (China) in 1994 and Ph.D. degree from the Institute of Mechanics, Chinese Academy of Sciences in 2002. From 1998 to 2000, she was a research assistant at the Department of Mechanical Engineering, Wayne State University. Currently, she is an Associate Professor of Solid Mechanics at the Institute of Mechanics, Chinese Academy of Sciences. Her research involves impact dynamics, statistical microdamage mechanics, and mocro/nanomechanics.
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M. F. Xia,
M. F. Xia
State Key Laboratory of Non-linear Mechanics (LMN), Institute of Mechanics,
Chinese Academy of Sciences
, Beijing 100080, P. R. China and Department of Physics, Peking University
, Beijing 100871, P. R. China
Mengfen Xia graduated from the Department of Physics, Perking University (China) in 1962. After graduation, he continued his research there as an Assistant Professor, Associate Professor, and Full Professor. From 1989, he was invited as a Visiting Professor by the Insitute of Mechanics, Chinese Academy of Sciences. Xia has authored over 100 research papers on plasma physics, nonlinear science, and statistical microdamage mechanics.
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F. J. Ke
F. J. Ke
State Key Laboratory of Non-linear Mechanics (LMN), Institute of Mechanics,
Chinese Academy of Sciences
, Beijing 100080, P. R. China and Department of Applied Physics, Beijing University of Aeronautics and Astronautics
, Beijing 100083, P. R. China
Fujiu Ke graduated from the Department of Physics, Peking University (China) in 1967. From 1973 to 1987, she was with the Insitute of Physics, Chinese Academy of Sciences. In 1987, she transferred to the Department of Physics, Beijing University of Aeronautics and Astronautics where she is currently a Full Professor. Her research involves plasma physics, damage mechanics, and molecular dynamics simulation.
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Y. L. Bai
Yilong Bai graduated from the University of Science and Technology of China in 1963. Since graduation, he has been an Assistant Professor, Associated Professor, and Full Professor at the Institute of Mechanics, Chinese Academy of Sciences. In 1991, he was elected Member of Chinese Academy of Sciences. His research is involved in impact dynamics and damage mechanics. Bai has published over 150 research papers and two monographs. He serves ad Editor-in-Chief of the journal “Science in China,” and is an editorial board member of the “International Journal of Impact Engineering” and “Acta Mechanics of Sinica.”
State Key Laboratory of Non-linear Mechanics (LMN), Institute of Mechanics,
Chinese Academy of Sciences
, Beijing 100080, P. R. China
H. Y. Wang
Haiying Wang obtained her B.Eng. degree from Zhejiang University (China) in 1994 and Ph.D. degree from the Institute of Mechanics, Chinese Academy of Sciences in 2002. From 1998 to 2000, she was a research assistant at the Department of Mechanical Engineering, Wayne State University. Currently, she is an Associate Professor of Solid Mechanics at the Institute of Mechanics, Chinese Academy of Sciences. Her research involves impact dynamics, statistical microdamage mechanics, and mocro/nanomechanics.
State Key Laboratory of Non-linear Mechanics (LMN), Institute of Mechanics,
Chinese Academy of Sciences
, Beijing 100080, P. R. China
M. F. Xia
Mengfen Xia graduated from the Department of Physics, Perking University (China) in 1962. After graduation, he continued his research there as an Assistant Professor, Associate Professor, and Full Professor. From 1989, he was invited as a Visiting Professor by the Insitute of Mechanics, Chinese Academy of Sciences. Xia has authored over 100 research papers on plasma physics, nonlinear science, and statistical microdamage mechanics.
State Key Laboratory of Non-linear Mechanics (LMN), Institute of Mechanics,
Chinese Academy of Sciences
, Beijing 100080, P. R. China and Department of Physics, Peking University
, Beijing 100871, P. R. China
F. J. Ke
Fujiu Ke graduated from the Department of Physics, Peking University (China) in 1967. From 1973 to 1987, she was with the Insitute of Physics, Chinese Academy of Sciences. In 1987, she transferred to the Department of Physics, Beijing University of Aeronautics and Astronautics where she is currently a Full Professor. Her research involves plasma physics, damage mechanics, and molecular dynamics simulation.
State Key Laboratory of Non-linear Mechanics (LMN), Institute of Mechanics,
Chinese Academy of Sciences
, Beijing 100080, P. R. China and Department of Applied Physics, Beijing University of Aeronautics and Astronautics
, Beijing 100083, P. R. ChinaAppl. Mech. Rev. Nov 2005, 58(6): 372-388 (17 pages)
Published Online: November 1, 2005
Citation
Bai, Y. L., Wang, H. Y., Xia, M. F., and Ke, F. J. (November 1, 2005). "Statistical Mesomechanics of Solid, Linking Coupled Multiple Space and Time Scales." ASME. Appl. Mech. Rev. November 2005; 58(6): 372–388. https://doi.org/10.1115/1.2048654
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