Mechanics of Solids
Finite elastic deformations
When elastic response under arbitrary deformation gradients is considered—because rotations, if not strains, are large or, in a…
July 27, 2021 · Boomi NathanAuthor: Boomi Nathan
J. BoomiNathan is a writer at SenseCentral who specializes in making tech easy to understand. He covers mobile apps, software, troubleshooting, and step-by-step tutorials designed for real people—not just experts. His articles blend clear explanations with practical tips so readers can solve problems faster and make smarter digital choices. He enjoys breaking down complicated tools into simple, usable steps.
Mechanics of Solids
Thermodynamic considerations
In thermodynamic terminology, a state of purely elastic material response corresponds to an equilibrium state, and a process…
July 27, 2021 · Boomi NathanMechanics of Solids
Thermal strains
Temperature change can also cause strain. In an isotropic material the thermally induced extensional strains are equal in…
July 27, 2021 · Boomi NathanMechanics of Solids
Stress-strain relations
Linear elastic isotropic solid The simplest type of stress-strain relation is that of the linear elastic solid, considered…
July 27, 2021 · Boomi NathanMechanics of Solids
Finite deformation and strain tensors
In the theory of finite deformations, extension and rotations of line elements are unrestricted as to size. For…
July 27, 2021 · Boomi NathanMechanics of Solids
Small-strain tensor
The small strains, or infinitesimal strains, εij are appropriate for situations with |∂uk/∂Xl|<< 1 for all k and…
July 27, 2021 · Boomi NathanMechanics of Solids
Geometry of deformation
Strain and strain-displacement relations The shape of a solid or structure changes with time during a deformation process.…
July 27, 2021 · Boomi NathanMechanics of Solids
Equations of motion
Now the linear momentum principle may be applied to an arbitrary finite body. Using the expression for Tj…
July 27, 2021 · Boomi NathanMechanics of Solids
Stress
Assume that F and M derive from two types of forces, namely, body forces f, such as gravitational…
July 27, 2021 · Boomi NathanMechanics 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 the origin of…
July 27, 2021 · Boomi Nathan