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|Title:||Homogenization methods and macro-strength of composites|
|Citation:||Proceedings in Applied Mathematics and Mechanics (PAMM), 1(1): 411 - 413, 2002|
|Abstract:||A multi-phase periodic composite subjected to inhomogeneous shrinkage or temperature deformation and prescribed mechanical loads is considered. The asymptotic homogenisation is applied for calculation of homogenized macrostresses. A non-local approximate macro-strength condition, defined on homogenised stress-field, is derived from the micro-strength conditions and their convergence to the approximate macro-strength condition, as the structure period tends to zero, is proved.|
|Appears in Collections:||Mathematical Science|
Dept of Mathematics Research Papers
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