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Deformation-Induced Change in the Geometry of a General Material Surface and Its Relation to the Gurtin–Murdoch Model
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: Small deformation theory plays an important role in analyzing the mechanical behavior of various elastic materials since it often leads to simple referential analytic results. For some specific mechanical problems however ...
Area-Preserving Configuration of Holes in an Elastic Solid Under Plane Deformation: Implications for Mechanical Insensitivity of Liquid Inclusions
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: Abstract. This article studies an inverse problem in plane elasticity concerning the preservation of the cross-sectional area of a hole under remote loading. The problem is motivated primarily by the need to stabilize ...
Uniqueness of Neutral Elastic Circular Nano Inhomogeneities in Antiplane Shear and Plane Deformations
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: In elasticity theory, a neutral inhomogeneity is defined as a foreign body which can be introduced into a host solid without disturbing the stress field in the solid. The existence of circular neutral elastic nanoinhomogeneities ...
Plane Deformations of an Inhomogeneity–Matrix System Incorporating a Compressible Liquid Inhomogeneity and Complete Gurtin–Murdoch Interface Model
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: We consider the plane deformations of an infinite elastic solid containing an arbitrarily shaped compressible liquid inhomogeneity in the presence of uniform remote in-plane loading. The effects of residual interface tension ...
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