Analytical and Numerical Study of the Size Effect on the Failure Response of Hierarchical Structures

Published on Dec 1, 2008in International Journal for Multiscale Computational Engineering1
· DOI :10.1615/INTJMULTCOMPENG.V6.I4.50
Joseph F. Labuz32
Estimated H-index: 32
(MU: University of Missouri),
Zhen Chen75
Estimated H-index: 75
(MU: University of Missouri),
Yong Gan12
Estimated H-index: 12
(UMN: University of Minnesota)
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Abstract
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#1Zhen Chen (MU: University of Missouri)H-Index: 75
#2Shan Jiang (DUT: Dalian University of Technology)H-Index: 12
Last. Yong Gan (ZJU: Zhejiang University)H-Index: 12
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Based on the available experimental and computational capabilities, a phenomenological approach has been proposed to formulate a hypersurface in both spatial and temporal domains to predict combined specimen size and loading rate effects on the material properties [1–2]. A systematic investigation is being performed to understand the combined size, rate and thermal effects on the properties and deformation patterns of representative materials with different nanostructures and under various types...
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The need for modeling and simulating multiscale structural responses to extreme loading conditions has brought about the challenging tasks of bridging different spatial and temporal scales within a unified framework. Based on the available experimental and computational capabilities, a simple approach has been proposed to formulate a hyper-surface in both spatial and temporal domains to predict combined specimen size and loading rate effects on the material properties. A systematic investigation...
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#1Hui-Hui Dai (CityU: City University of Hong Kong)H-Index: 15
#2Xiaowu Zhu (CityU: City University of Hong Kong)
Last. Zhen Chen (MU: University of Missouri)H-Index: 75
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An analytical study is taken to investigate the relationship between material softening and structural softening through the use of a model problem in one dimension. General nonlinear constitutive relations are used. Compared with the bilinear assumptions in previous literature, we find that the nonlinear assumptions herein capture more details in the post-peak structural response. We manage to derive necessary and sufficient conditions for the occurrence of four important post-peak cases, which...
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An analytical study is taken to investigate the relationship between material softening and structural softening through the use of a model problem in one dimension. With general nonlinear assumptions on the constitutive relations, it turns out that the governing equations can be viewed as a system of parametric equations, which couple the size effect and the nonlinear effect. Compared with the bilinear assumptions in previous literature, we find that the nonlinear assumptions herein capture mor...
#1Luming Shen (USYD: University of Sydney)H-Index: 24
#2Zhen Chen (MU: University of Missouri)H-Index: 75
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#1Luming Shen (USYD: University of Sydney)H-Index: 24
#2Zhen Chen (MU: University of Missouri)H-Index: 75
Owing to their outstanding mechanical, tribological, electronic transport, chemical and biocompatibility properties, the ultrananocrystalline diamond (UNCD) f ilms grown by the microwave plasma ch emical vapor deposition method under hydrogen-poor conditions have become the subject of intense research interests over the past decade. Based on the available computational capabilities and experimental data, a combined kinetic Monte Carlo (KMC) and molecular dynamics (MD) procedure has been develope...
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