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Hydrostatic stress
About: Hydrostatic stress is a research topic. Over the lifetime, 1568 publications have been published within this topic receiving 37773 citations.
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TL;DR: In this article, the velocity of Rayleigh waves in incompressible isotropic solids subject to a general pure homogeneous prestrain is derived using the theory of cubic equation.
Abstract: In the present paper, formulas for the velocity of Rayleigh waves in incompressible isotropic solids subject to a general pure homogeneous prestrain are derived using the theory of cubic equation. They have simple algebraic form and hold for a general strainenergy function. The formulas are concretized for some specific forms of strain-energy function. They then become totally explicit in terms of parameters characterizing the material and the prestrains. These formulas recover the (exact) value of the dimensionless speed of Rayleigh wave in incompressible isotropic elastic materials (without prestrain). Interestingly that, for the case of hydrostatic stress, the formula for the Rayleigh wave velocity does not depend on the type of strain-energy function. © 2010 by ASME. Author Keywords: Incompressible; Prestrains; Prestresses; Rayleigh wave velocity; Rayleigh waves Index Keywords: Cubic equations; Elastic materials; Elastic solids; Hydrostatic stress; Isotropic solids; Parameters characterizing; Pre-strain; Prestrains; Prestresses; Rayleigh wave velocity; Strain energy functions; Acoustic wave velocity; Strain energy; Wave propagation; Rayleigh waves
15 citations
01 Jan 1985
15 citations
TL;DR: In this article, the elastic fields set up by a semi-spherical hydride particle growing at a free surface of metal with cubic symmetry, with and without an oxide layer, were analyzed.
15 citations
TL;DR: In this paper, the authors studied the plasticity of various amorphous silicon phases based on first-principles calculations and identified the linear dependence of the equivalent yield stress on the hydrostatic pressure.
Abstract: Lithiation-induced plasticity is a key factor that enables Si electrodes to maintain long cycle life in Li-ion batteries. We study the plasticity of various lithiated silicon phases based on first-principles calculations and identify the linear dependence of the equivalent yield stress on the hydrostatic pressure. Such dependence may cause the compression-tension asymmetry in an amorphous Si thin film electrode from a lithiation to delithiation cycle, and leads to subsequent ratcheting of the electrode after cyclic lithiation. We propose a yield criterion of amorphous lithiated silicon that includes the effects of the hydrostatic stress and the lithiation reaction. We further examine the microscopic mechanism of deformation in lithiated silicon under mechanical load, which is attributed to the flow-defects mediated local bond switching and cavitation. Hydrostatic compression confines the flow defects thus effectively strengthens the amorphous structure, and vice versa.
15 citations
TL;DR: In this article, a framework for orthotropic finite plasticity coupled with a Lemaitre type isotropic ductile damage is presented in a thermodynamically sound setting for sheet metal forming.
15 citations