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Static Equilibrium Force and Moment
Posted inMechanics of Solids

Static Equilibrium Force and Moment

Posted by admin November 27, 2021
The correct response is zero: For a particle at rest, or moving with constant velocity…
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Equations of motion of linear elastic bodies
Posted inMechanics of Solids

Equations of motion of linear elastic bodies

Posted by admin November 27, 2021
The final equations of the purely mechanical theory of linear elasticity (i.e., when coupling with…
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Finite elastic deformations
Posted inMechanics of Solids

Finite elastic deformations

Posted by admin November 27, 2021
When elastic response under arbitrary deformation gradients is considered—because rotations, if not strains, are large…
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Thermodynamic considerations
Posted inMechanics of Solids

Thermodynamic considerations

Posted by admin November 27, 2021
In thermodynamic terminology, a state of purely elastic material response corresponds to an equilibrium state,…
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Thermal strains
Posted inMechanics of Solids

Thermal strains

Posted by admin November 27, 2021
Temperature change can also cause strain. In an isotropic material the thermally induced extensional strains…
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Stress-strain relations
Posted inMechanics of Solids

Stress-strain relations

Posted by admin November 27, 2021
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
Posted inMechanics of Solids

Finite deformation and strain tensors

Posted by admin November 27, 2021
In the theory of finite deformations, extension and rotations of line elements are unrestricted as…
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Small-strain tensor
Posted inMechanics of Solids

Small-strain tensor

Posted by admin November 27, 2021
The small strains, or infinitesimal strains, εij are appropriate for situations with |∂uk/∂Xl|<< 1 for…
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Geometry of deformation
Posted inMechanics of Solids

Geometry of deformation

Posted by admin November 27, 2021
Strain and strain-displacement relations The shape of a solid or structure changes with time during…
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Equations of motion
Posted inMechanics of Solids

Equations of motion

Posted by admin November 27, 2021
Now the linear momentum principle may be applied to an arbitrary finite body. Using the…
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