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…
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…
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…
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,…
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…
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…
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…
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…
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…
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…