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…
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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…
Mechanics of Solids 3 min read
Viscoelasticity
The German physicist Wilhelm Weber noticed in 1835 that a load applied to a silk thread produced not only an…
Mechanics of Solids 6 min read
Dislocations
The Italian elastician and mathematician Vito Volterra introduced in 1905 the theory of the elastostatic stress and displacement fields created…
Mechanics of Solids 3 min read
Stress concentrations and fracture
In 1898 G. Kirsch derived the solution for the stress distribution around a circular hole in a much larger plate…
Mechanics of Solids 4 min read
The general theory of elasticity
Linear elasticity as a general three-dimensional theory began to be developed in the early 1820s based on Cauchy’s work. Simultaneously,…
Mechanics of Solids 4 min read
Beams, columns, plates, and shells
The 1700s and early 1800s were a productive period during which the mechanics of simple elastic structural elements were developed—well…
Mechanics of Solids 3 min read
Concepts of stress, strain, and elasticity
The English scientist Robert Hooke discovered in 1660, but published only in 1678, that for many materials the displacement under…
Mechanics of Solids 6 min read
Mechanics of solids
Mechanics of solids, science concerned with the stressing, deformation, and failure of solid materials and structures. What, then, is a…