A BRIDGING MECHANISM IN THE HOMOGENIZATION OF BRITTLE COMPOSITES WITH SOFT INCLUSIONS

被引：24

作者：

Barchiesi, Marco ^{[1
]}

Lazzaroni, Giuliano ^{[2
]}

Zeppieri, Caterina Ida ^{[3
]}

机构：

[1] Univ Naples Federico II, Dipartimento Matemat & Appl, I-80126 Naples, Italy

[2] SISSA, I-34136 Trieste, Italy

[3] Univ Munster, Inst Numer & Angew Math, D-48149 Munster, Germany

来源：

SIAM JOURNAL ON MATHEMATICAL ANALYSIS | 2016年 / 48卷 / 02期

关键词：

Gamma-convergence; multiscale analysis; homogenization; free-discontinuity problems; fracture mechanics; EXISTENCE; MODELS;

D O I：

10.1137/15M1007343

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We provide a homogenization result for the energy-functional associated with a purely brittle composite whose microstructure is characterized by soft periodic inclusions embedded in a stiff er matrix. We show that the two constituents as above can be suitably arranged on a microscopic scale epsilon to obtain, in the limit as epsilon tends to zero, a homogeneous macroscopic energy-functional explicitly depending on the opening of the crack.

引用

页码：1178 / 1209

页数：32

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