What is it about?
Nonlocal peridynamic materials describe long-range interactions in continuous bodies and especially in elasticity. The paper shows how to replace an isotropic peridynamic linear elastic material by a linear nonsimple material. The ordinary and higher-order elastic constants of such this replacement are calculated explicitly in terms of the nonlocal interaction.
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Why is it important?
A peridynamic framework of the theory of materials provides a higher flexibility and scope than the classical (Cauchy) framework. The theory is still under construction.
Perspectives
A continuation of the research initiated in this paper will involve nonisotropic (crystalline) materials.
Miroslav Silhavy
Institute of Mathematics
Read the Original
This page is a summary of: Higher gradient expansion for linear isotropic peridynamic materials, Mathematics and Mechanics of Solids, April 2016, SAGE Publications,
DOI: 10.1177/1081286516637235.
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