ISSN:
1013-9826
Source:
Scientific.Net: Materials Science & Technology / Trans Tech Publications Archiv 1984-2008
Topics:
Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
Notes:
In this study, we focus on the modeling of solid structures that include microstructuresobserved in particle-dispersed composites. The finite element modeling can be used to clarify how themacroscopic behaviors of solid structures are influenced by the microstructures. In such a case, if thewhole structure including the microstructures is modeled by the finite elements, an enormous numberof finite elements and enormous amount of computational time are required. To overcome suchdifficulties, we propose a new method for modeling microstructures. In this method, an explicit formof the stress-strain relation covering both elastic and elastic-plastic regions is derived from theequivalent inclusion method proposed by Eshelby that provides mathematical solutions for stress andstrain at an arbitrary point inside and outside the inclusion. The derived elastic-plastic constitutiveequation takes account of the microstructures, so that the effect of microstructures on the macroscopicbehaviors can be obtained from the conventional finite element method by using such a constitutiveequation without modeling microstructures in the finite element analysis. The effectiveness of theproposed constitutive equation is verified for a simple problem by comparing the results of theone-element finite element analyses using the proposed constitutive equation with those of thedetailed finite element analyses using multi-element finite element modeling
Type of Medium:
Electronic Resource
URL:
http://www.tib-hannover.de/fulltexts/2011/0528/01/54/transtech_doi~10.4028%252Fwww.scientific.net%252FKEM.340-341.1037.pdf
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