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Small-strain tensor
The small strains, or infinitesimal strains, εij are appropriate for situations with |∂uk/∂Xl|<< 1 for…
Posted inMechanics of Solids
Geometry of deformation
Strain and strain-displacement relations The shape of a solid or structure changes with time during…
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Equations of motion
Now the linear momentum principle may be applied to an arbitrary finite body. Using the…
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Stress
Assume that F and M derive from two types of forces, namely, body forces f,…
Posted inMechanics of Solids
Linear and angular momentum principles: stress and equations of motion
Let x denote the position vector of a point in space as measured relative to…
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Basic Principles
In addressing any problem in continuum or solid mechanics, three factors must be considered: (1)…
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Computational mechanics
The digital computer revolutionized the practice of many areas of engineering and science, and solid…
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Viscoelasticity
The German physicist Wilhelm Weber noticed in 1835 that a load applied to a silk…
Posted inMechanics of Solids
Dislocations
The Italian elastician and mathematician Vito Volterra introduced in 1905 the theory of the elastostatic…
Posted inMechanics of Solids
Stress concentrations and fracture
In 1898 G. Kirsch derived the solution for the stress distribution around a circular hole…