Topic
Linear elasticity
About: Linear elasticity is a research topic. Over the lifetime, 9080 publications have been published within this topic receiving 258684 citations.
Papers published on a yearly basis
Papers
More filters
TL;DR: In this paper, a first order analysis of the stresses near a mode I fracture impinging upon a frictional interface oriented normal to the growing fracture results in a simple criterion that predicts whether a growing fracture will terminate at or cross the interface.
455 citations
TL;DR: In this paper, the linear macroscopic mechanical behavior of a porous elastic solid saturated with a compressible viscous fluid is derived based on the equations of linear elasticity in the solid, the linearized Navier-Stokes equations in the fluid, and appropriate conditions at the solid-fluid boundary.
Abstract: Equations are derived which govern the linear macroscopic mechanical behavior of a porous elastic solid saturated with a compressible viscous fluid. The derivation is based on the equations of linear elasticity in the solid, the linearized Navier–Stokes equations in the fluid, and appropriate conditions at the solid–fluid boundary. The scale of the pores is assumed to be small compared to the macroscopic scale, so that the two‐space method of homogenization can be used to deduce the macroscopic equations. When the dimensionless viscosity of the fluid is small, the resulting equations are those of Biot, who obtained them by hypothesizing the form of the macroscopic constitutive relations. The present derivation verifies those relations, and shows how the coefficients in them can be calculated, in principle, from the microstructure. When the dimensionless viscosity is of order one, a different equation is obtained, which is that of a viscoelastic solid.
447 citations
TL;DR: In this paper, the authors propose three physical models based on linear elasticity theory and finite-element modeling that are well-suited for surgery simulation, and combine the previous two solutions into a hybrid model that simulates deformations and cutting on complex anatomical structures.
Abstract: We propose three physical models based on linear elasticity theory and finite-element modeling that are well-suited for surgery simulation. The first model combines precomputed deformations to deform large size meshes in real-time, but cannot make any topological changes to the mesh. The second model is similar to the spring-mass models where volumetric deformations and cutting operations can be simulated on small meshes in real time. Finally, we have developped a third method, combining the previous two solutions into a hybrid model that simulates deformations and cutting on complex anatomical structures.
447 citations
TL;DR: In this paper, the elastic contact problem of a rigid cylindrical punch indenting a multi-layered linear elastic half space is studied and then used to model the unloading phase of a microindentation test of thin fims deposited on a substrate.
438 citations
Book•
01 Mar 1982
TL;DR: The theory of Elasticity and its application to point defect detection was first discussed in this paper, where the linear Elastic Field of Single Dislocations and non-linear effects of point defects were discussed.
Abstract: I Fundamentals of the Theory of Elasticity- II The Linear Elastic Field of Single Dislocations- III Non-Linear Effects in the Elastic Field of Single Dislocations- IV Continuous Distributions of Dislocations- V The Elastic Field of Point Defects- References
438 citations