Topic
Hydrostatic stress
About: Hydrostatic stress is a research topic. Over the lifetime, 1568 publications have been published within this topic receiving 37773 citations.
Papers published on a yearly basis
Papers
More filters
TL;DR: In this article, the authors proposed an effective numerical method to study cavitation instabilities in non-linear elastic solids by examining the mechanical response under affine boundary conditions of a block of nonlinear elastic material that contains a single infinitesimal defect at its center.
Abstract: This paper proposes an effective numerical method to study cavitation instabilities in non-linear elastic solids. The basic idea is to examine—by means of a 3D finite element model—the mechanical response under affine boundary conditions of a block of non-linear elastic material that contains a single infinitesimal defect at its center. The occurrence of cavitation is identified as the event when the initially small defect suddenly grows to a much larger size in response to sufficiently large applied loads. While the method is valid more generally, the emphasis here is on solids that are isotropic and defects that are vacuous and initially spherical in shape. As a first application, the proposed approach is utilized to compute the entire onset-of-cavitation surfaces (namely, the set of all critical Cauchy stress states at which cavitation ensues) for a variety of incompressible materials with different convexity properties and growth conditions. For strictly polyconvex materials, it is found that cavitation occurs only for stress states where the three principal Cauchy stresses are tensile and that the required hydrostatic stress component at cavitation increases with increasing shear components. For a class of materials that are not polyconvex, on the other hand and rather counterintuitively, the hydrostatic stress component at cavitation is found to decrease for a range of increasing shear components. The theoretical and practical implications of these results are discussed.
18 citations
TL;DR: In this article, a yield function taking into account the hydrostatic stress state is incorporated into a finite deformation concept in order to simulate void growth typically observed in ductile damage, and numerical aspects are addressed concerning the integration of the constitutive relations and the finite element equilibrium iteration.
18 citations
TL;DR: In this article, anisotropic von Mises and Drucker-Prager criterion is proposed for describing the macroscopic states of stress which result in failure of brittle and ductile materials.
18 citations
TL;DR: Based on the micromechanical method and thermodynamic theory, a constitutive model for the macroscopic mechanical behavior of porous NiTi shape memory alloy is presented in this article, which takes account of the tensile-compressive asymmetry of NiTi, and can degenerate to model dense material.
18 citations
TL;DR: An overview on the role of the stress state and stress Triaxiality Factor (TF) in lifetime prediction of solder connections is presented and when including multiaxial effects by modification of damage related variables a better correlation between calculated and experimentally observed crack path is achieved.
18 citations