Topic
Linear elasticity
About: Linear elasticity is a research topic. Over the lifetime, 9080 publications have been published within this topic receiving 258684 citations.
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TL;DR: In this paper, the authors used finite element stress analysis to optimize both design and material selection in loadbearing components in artificial hip joints based on the static load analysis, by selecting the peak load during the patient activity.
63 citations
TL;DR: In this article, the authors study the mechanical behavior of soft rubber-like digital materials used in polyjet multi-material 3D-printing to create deformable composite materials and flexible structures.
63 citations
TL;DR: In this article, the eight noded quarter-point Serendipity quadrilateral isoparametric element is reexamined and the stresses are proven to be square-root singular on all rays in a small region adjacent to the crack tip and, as was previously shown, along the element sides.
Abstract: The eight noded quarter-point Serendipity quadrilateral isoparametric element is reexamined. The stresses are proven to be square-root singular on all rays in a small region adjacent to the crack tip and, as was previously shown, along the element sides. It is demonstrated that the element strain energy, and hence its stiffness, is bounded. The effect of element size in characterizing the square-root singular behavior is investigated through stress intensity factor calculations in the case of two geometries with crack tip elements of various dimensions. Workers in the field of fracture mechanics may now, without hesitation, employ this element for modeling crack tip singularities in linear elastic material.
63 citations
TL;DR: A coupled hydro-mechanical formulation for the simulation of non-planar three-dimensional hydraulic fractures using the Newton–Raphson method and a Generalized/eXtended Finite Element Method for the discretization of the coupled system of equations.
Abstract: Summary
This paper presents a coupled hydro-mechanical formulation for the simulation of non-planar three-dimensional hydraulic fractures. Deformation in the rock is modeled using linear elasticity, and the lubrication theory is adopted for the fluid flow in the fracture. The governing equations of the fluid flow and elasticity and the subsequent discretization are fully coupled. A Generalized/eXtended Finite Element Method (G/XFEM) is adopted for the discretization of the coupled system of equations. A Newton–Raphson method is used to solve the resulting system of nonlinear equations. A discretization strategy for the fluid flow problem on non-planar three-dimensional surfaces and a computationally efficient strategy for handling time integration combined with mesh adaptivity are also presented. Several three-dimensional numerical verification examples are solved. The examples illustrate the generality and accuracy of the proposed coupled formulation and discretization strategies. Copyright © 2015 John Wiley & Sons, Ltd.
63 citations
22 Sep 1996
TL;DR: This paper describes the recent work on real-time Surgery Simulation using Fast Finite Element models of linear elasticity and discusses various improvements in terms of speed and realism.
Abstract: This paper describes our recent work on real-time Surgery Simulation using Fast Finite Element models of linear elasticity [1]. In addition we discuss various improvements in terms of speed and realism.
63 citations