About: Linear elasticity

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Linear elasticity is a mathematical model of how solid objects deform and become internally stressed due to prescribed loading conditions. It is a simplification of the more general nonlinear theory of elasticity and a branch of continuum mechanics. The fundamental "linearizing" assumptions of linear elasticity are: infinitesimal strains or "small" deformations (or strains) and linear relationships between the components of stress and strain. In addition linear elasticity is valid only for stress states that do not produce yielding.

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rdf:type	Thing book
rdfs:label	Linear elasticity (en)
rdfs:comment	Linear elasticity is a mathematical model of how solid objects deform and become internally stressed due to prescribed loading conditions. It is a simplification of the more general nonlinear theory of elasticity and a branch of continuum mechanics. The fundamental "linearizing" assumptions of linear elasticity are: infinitesimal strains or "small" deformations (or strains) and linear relationships between the components of stress and strain. In addition linear elasticity is valid only for stress states that do not produce yielding. (en)
sameAs	Linear elasticity
dbp:wikiPageUsesTemplate	dbt:Authority_control dbt:Citation_needed dbt:Div_col dbt:Div_col_end dbt:Expand_section dbt:Main dbt:More_footnotes dbt:Reflist dbt:Rp dbt:Continuum_mechanics dbt:Einstein_summation_convention
Subject	Elasticity (physics) Solid mechanics Sound
gold:hypernym	Study
prov:wasDerivedFrom	http://en.wikipedia.org/wiki/Linear_elasticity?oldid=1042632531&ns=0
Wikipage page ID	301429 (xsd:integer)
page length (characters) of wiki page	41238 (xsd:nonNegativeInteger)
Wikipage revision ID	1042632531 (xsd:integer)
Link from a Wikipage to another Wikipage	Force Green's function Biharmonic equation Seismic wave Voigt notation Saint-Venant's compatibility condition Boundary value problem Bulk modulus Three-dimensional graph Castigliano's method Elasticity (physics) Solid mechanics Sound Cauchy momentum equation Cauchy stress tensor Displacement (geometry) Displacement field (mechanics) Divergence Clapeyron's theorem (elasticity) Deformation (physics) Del Hooke's law Linear equation Plane wave Plasticity (physics) Shear modulus Shear stress Tensor Constitutive equation Contact mechanics Continuum mechanics Coulomb's law World map Earthquake Eigenvalues and eigenvectors Elastic modulus Elasticity (physics) Michell solution Newton's laws of motion Partial differential equation Solid mechanics Viscoelasticity Electrostatics Finite element method Finite strain theory Mixture Symmetry of second derivatives System of linear equations Spring system Infinitesimal strain theory Kronecker delta Lamé parameters Momentum Transpose Transverse isotropy Stress (mechanics) Stress functions Structural analysis GRADELA Laplace operator Mechanical wave Poisson's ratio Signorini problem William Thomson, 1st Baron Kelvin Yield (engineering) Young's modulus
has abstract	Linear elasticity is a mathematical model of how solid objects deform and become internally stressed due to prescribed loading conditions. It is a simplification of the more general nonlinear theory of elasticity and a branch of continuum mechanics. The fundamental "linearizing" assumptions of linear elasticity are: infinitesimal strains or "small" deformations (or strains) and linear relationships between the components of stress and strain. In addition linear elasticity is valid only for stress states that do not produce yielding. These assumptions are reasonable for many engineering materials and engineering design scenarios. Linear elasticity is therefore used extensively in structural analysis and engineering design, often with the aid of finite element analysis. (en)
foaf:isPrimaryTopicOf	http://en.wikipedia.org/wiki/Linear_elasticity
is Wikipage redirect of	3-D Elasticity Beltrami-Michell compatibility equations Elastic Wave Elastic wave Christoffel equation Beltrami–Michell compatibility equations Elastic waves

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