Mechanics of Solids 4 min read
Finite elastic deformations
When elastic response under arbitrary deformation gradients is considered—because rotations, if not strains, are large or, in a material such…
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Author: 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 3 min read
Thermodynamic considerations
In thermodynamic terminology, a state of purely elastic material response corresponds to an equilibrium state, and a process during which…
Mechanics of Solids 3 min read
Thermal strains
Temperature change can also cause strain. In an isotropic material the thermally induced extensional strains are equal in all directions,…
Mechanics of Solids 2 min read
Stress-strain relations
Linear elastic isotropic solid The simplest type of stress-strain relation is that of the linear elastic solid, considered in circumstances…
Mechanics of Solids 2 min read
Finite deformation and strain tensors
In the theory of finite deformations, extension and rotations of line elements are unrestricted as to size. For an infinitesimal…
Mechanics of Solids 3 min read
Small-strain tensor
The small strains, or infinitesimal strains, εij are appropriate for situations with |∂uk/∂Xl|<< 1 for all k and l. Two…
Mechanics of Solids 3 min read
Geometry of deformation
Strain and strain-displacement relations The shape of a solid or structure changes with time during a deformation process. To characterize…
Mechanics of Solids 3 min read
Equations of motion
Now the linear momentum principle may be applied to an arbitrary finite body. Using the expression for Tj above and…
Mechanics of Solids 4 min read
Stress
Assume that F and M derive from two types of forces, namely, body forces f, such as gravitational attractions—defined such…
Mechanics of Solids 3 min read
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 a Newtonian…
Mechanics of Solids 4 min read
Basic Principles
In addressing any problem in continuum or solid mechanics, three factors must be considered: (1) the Newtonian equations of motion,…
Mechanics of Solids 2 min read
Computational mechanics
The digital computer revolutionized the practice of many areas of engineering and science, and solid mechanics was among the first…