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Linear elasticity

About: Linear elasticity is a research topic. Over the lifetime, 9080 publications have been published within this topic receiving 258684 citations.


Papers
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Journal ArticleDOI
TL;DR: In this article, a comparison of different discrete element models of a rock-type material is presented, which employs spherical particles with the cohesive interaction model combining linear elastic behaviour with brittle failure.

88 citations

Book ChapterDOI
TL;DR: In this article, the strain energy function for an ideal isotropic elastic material which can be subjected to finite deformations was expressed, in general, in terms of three independent scalar invariants of the strain.
Abstract: The strain-energy function for an ideal isotropic elastic material which can be subjected to finite deformations may be expressed, in general, in terms of three independent scalar invariants of the strain. If the material is incompressible, then the strain-energy function may be considered to be a function of only two invariants of the strain. This fact, together with the constancy of volume of each element imposed by the incompressibility of the material, makes possible the solution of a number of problems concerning the deformation of highly-elastic incompressible bodies without further assumptions regarding the form of the strain-energy function.

88 citations

Journal ArticleDOI
TL;DR: In this paper, a micromechanics-based model is proposed to quantify the effect of various parameters on the complete stress-strain relationship of a rock material with echelon cracks.
Abstract: A micromechanics-based model, able to quantify the effect of various parameters on the complete stress–strain relationship, is described. The closed-form explicit expression for the complete stress–strain relationship of a rock material containing an echelon cracks arrangement subjected to compressive loading is obtained. The complete stress–strain relationship including the stages of linear elasticity, non-linear hardening and strain softening is established. The results show that the complete stress–strain relationship and the strength of rock with echelon cracks depend on the crack interface friction coefficient, the sliding crack spacing, the perpendicular distance between the two adjacent rows, the fracture toughness of rock material and orientation of the cracks. The present model is used to evaluate the complete stress–strain relationship and strength for crack-weakened rock at the underground cavern complex of the Ertan Hydroelectric Project. The predicted strength is in agreement with that obtained by the Hoek–Brown criterion. The numerical results obtained with the complete stress–strain relationship seem to be in good agreement with the measured values.

88 citations

Journal ArticleDOI
TL;DR: The revisited analysis of MA experiments is extended, extending the application domain of this technique, while contributing to decrease the dispersion of elastic modulus values obtained by this method.

88 citations

Journal ArticleDOI
TL;DR: In this article, the constitutive functions for contact actions in terms of size, shape and arrangement of the block assembly are derived within the framework of the linear elastic Cosserat and Cauchy theories.
Abstract: Continuum modeling for masonry-like material accounting for bricks or blocks texture is discussed. The constitutive functions for the contact actions—expressed in terms of size, shape and arrangement of the block assembly-are derived within the framework of the linear elastic Cosserat and Cauchy theories. By varying some important geometrical parameters: the scale factor between the wall and the blocks size, the shape of the bricks and their arrangement, micropolar materials with particular internal constraints are obtained. In a few situations the constrained continuum behaves as a Cauchy continuum. In general, the Cauchy continuum does not provide a proper description of the brick masonry behaviour while the structured continuum model, accounting for the mutual blocks rotation, gives satisfactory results.

88 citations


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Performance
Metrics
No. of papers in the topic in previous years
YearPapers
202386
2022223
2021318
2020317
2019312
2018335