Application of the Heterogenization Methodology to the Analysis of Elastic Bodies with Defects
Numerous defects in materials may be characterized as cavities or inclusions within the framework of linear elasticity. Recently, the author and co-workers have developed a general procedure termed “Heterogenization”, which permits an efficient analysis of elastic bodies with circular cavities or inclusions in terms of correspondingly loaded homogeneous bodies without such defects. One of the features of this novel methodology is that the expressions derived are completely independent of the loading. The present contribution summarizes the essentials of this methodology, which is based on a certain involution correspondence, and considers specific applications to cavities, elastic inclusions with different boundary conditions, as well as to coupled fields such as piezoelectricity and thermoelasticity.
KeywordsOuter Region Complex Potential Homogeneous Problem Rigid Inclusion Elastic Field
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