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Infinitesimal strain theory

In continuum mechanics, the infinitesimal strain theory is a mathematical approach to the description of the deformation of a solid body in which the displacements of the material particles are assumed to be much smaller (indeed, infinitesimally smaller) than any relevant dimension of the body; so that its geometry and the constitutive properties of the…

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Infinitesimal strain tensor

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Relation to infinitesimal rotation tensor

Strain tensor in non-Cartesian coordinates

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Infinitesimal strain theory

Nodes51
Edges50
Triples3
Avg. degree1.96
Density0.039216
Components1

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Infinitesimal strain theory

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Infinitesimal strain theory → mathematical approach to the description of the deformation of a solid body in which the displacements of the material particles are assumed to be much smaller

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strain tensor displaystyle varepsilon mathbf boldsymbol infinitesimal components ij begin end displacement nabla 11 bmatrix called theory strains stress frac

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SubjectPredicateObjectConfidenceSrc
Infinitesimal strain theoryis amathematical approach to the description of the deformation of a solid body in which the displacements of the material particles are assumed to be much smaller0.90text
a long metal billetinstance ofare 3-D tensors but in prismatic structures0.80text
the length of the structure is much greater than the other two dimensionsinstance ofare 3-D tensors but in prismatic structures0.80text

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