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Static Equilibrium Force and Moment
The correct response is zero: For a particle at rest, or moving with constant velocity…
Posted inMechanics of Solids
Equations of motion of linear elastic bodies
The final equations of the purely mechanical theory of linear elasticity (i.e., when coupling with…
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Finite elastic deformations
When elastic response under arbitrary deformation gradients is considered—because rotations, if not strains, are large…
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Thermodynamic considerations
In thermodynamic terminology, a state of purely elastic material response corresponds to an equilibrium state,…
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Thermal strains
Temperature change can also cause strain. In an isotropic material the thermally induced extensional strains…
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Stress-strain relations
Linear elastic isotropic solid The simplest type of stress-strain relation is that of the linear…
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Finite deformation and strain tensors
In the theory of finite deformations, extension and rotations of line elements are unrestricted as…
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Small-strain tensor
The small strains, or infinitesimal strains, εij are appropriate for situations with |∂uk/∂Xl|<< 1 for…
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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…