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Linear elasticity

Linear elasticity is a mathematical model of how solid objects deform and become internally stressed by prescribed loading conditions. It is a simplification of the more general nonlinear theory of elasticity and a branch of continuum mechanics.

Products, Mathematical formulation & (An)isotropic (in)homogeneous media

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Overview

Mathematical formulation

(An)isotropic (in)homogeneous media

Anisotropic homogeneous media

Some classical two-dimensional linear elasticity solutions

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Map overview Semantic statistics

Linear elasticity

Nodes78
Edges77
Triples19
Avg. degree1.97
Density0.025641
Components1

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Linear elasticity

Top relations

related to Cartesian coordinate form · 10
Linear elasticity → Cartesian, Cauchy, Constitutive, Equation, Expressed, Hooke's, In, Strain-displacement, The, These
related to Elastodynamics in terms of displacements · 5
Linear elasticity → An, Earth, Elastodynamics, The, When
related to Elastostatics · 3
Linear elasticity → Elastostatics, In, The
is a · 1
Linear elasticity → mathematical model of how solid objects deform and become internally stressed by prescribed loading conditions

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Important terminology

displaystyle tensor stress equations sigma equation frac ij left linear strain displacement partial right elasticity begin end mu independent rho

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Linear elasticityis amathematical model of how solid objects deform and become internally stressed by prescribed loading conditions0.90text
Linear elasticityrelated to Cartesian coordinate formExpressed0.60section
Linear elasticityrelated to Cartesian coordinate formCartesian0.60section
Linear elasticityrelated to Cartesian coordinate formEquation0.60section
Linear elasticityrelated to Cartesian coordinate formCauchy0.60section
Linear elasticityrelated to Cartesian coordinate formThese0.60section
Linear elasticityrelated to Cartesian coordinate formIn0.60section
Linear elasticityrelated to Cartesian coordinate formStrain-displacement0.60section
Linear elasticityrelated to Cartesian coordinate formConstitutive0.60section
Linear elasticityrelated to Cartesian coordinate formThe0.60section
Linear elasticityrelated to Cartesian coordinate formHooke's0.60section
Linear elasticityrelated to Elastodynamics in terms of displacementsElastodynamics0.60section

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