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: A new method to derive analytical expressions for the spring parameters from an isotropic linear elastic reference model is described and expressions for several mesh topologies are derived.
Abstract: Mass spring models are frequently used to simulate deformable objects because of their conceptual simplicity and computational speed. Unfortunately, the model parameters are not related to elastic material constitutive laws in an obvious way. Several methods to set optimal parameters have been proposed but, so far, only with limited success. We analyze the parameter identification problem and show the difficulties, which have prevented previous work from reaching wide usage. Our main contribution is a new method to derive analytical expressions for the spring parameters from an isotropic linear elastic reference model. The method is described and expressions for several mesh topologies are derived. These include triangle, rectangle, and tetrahedron meshes. The formulas are validated by comparing the static deformation of the MSM with reference deformations simulated with the finite element method.
162 citations
TL;DR: In this paper, a unified approach for the analysis and design of adhesive bonded joints is presented, where adherends are modelled as beams or wide plates in cylindrical bending, and are considered as generally orthotropic laminates using classical laminate theory.
161 citations
TL;DR: In this paper, the singular stresses at interface corners in bonded lap joints were examined and a generalized stress intensity factor was defined and used for the prediction of failure in some single-lap joint geometries.
161 citations
TL;DR: In this article, the constitutive equations for a linear elastic material with voids imply a viscoelastic stress-strain relation known as the "standard linear solid" in the case of quasi-static, homogeneous deformations in the absence of self-equilibrated body forces.
Abstract: It is shown that the constitutive equations for a linear elastic material with voids imply a viscoelastic stress-strain relation known as the “standard linear solid” in the case of quasi-static, homogeneous deformations in the absence of self-equilibrated body forces. It is noted that, even for deformations that are dynamic and/or inhomogeneous the viscoelastic behavior is still qualitatively similar to that predicted by the standard linear solid model.
160 citations