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Kirsch Equations
The Kirsch equations describe the elastic Elastic is a word often used to describe or identify certain types of elastomer, Elastic (notion), elastic used in garments or stretch fabric, stretchable fabrics. Elastic may also refer to: Alternative name * Rubber band, ring-shaped band of rub ... stresses around a hole in an infinite plate under one directional tension. They are named after Ernst Gustav Kirsch. Result Loading an infinite plate with a circular hole of radius ''a'' with stress ''σ'', the resulting stress field is (the angle is with respect to the direction of application of the stress): \sigma_ = \frac\left(1 - \frac\right) + \frac\left(1 + 3\frac - 4\frac\right)\cos 2\theta \sigma_ = \frac\left(1 + \frac\right) - \frac\left(1 + 3\frac\right)\cos 2\theta \sigma_ = - \frac\left(1 - 3\frac + 2\frac{r^2}\right)\sin 2\theta References *Kirsch, 1898, ''Die Theorie der Elastizität und die Bedürfnisse der Festigkeitslehre.'' Zeitschrift des Vereines deutscher ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Elasticity (physics)
In physics and materials science, elasticity is the ability of a body to resist a distorting influence and to return to its original size and shape when that influence or force is removed. Solid objects will deform when adequate loads are applied to them; if the material is elastic, the object will return to its initial shape and size after removal. This is in contrast to ''plasticity'', in which the object fails to do so and instead remains in its deformed state. The physical reasons for elastic behavior can be quite different for different materials. In metals, the Crystal structure, atomic lattice changes size and shape when forces are applied (energy is added to the system). When forces are removed, the lattice goes back to the original lower energy state. For rubber elasticity, rubbers and other polymers, elasticity is caused by the stretching of polymer chains when forces are applied. Hooke's law states that the force required to deform elastic objects should be Prop ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Stress (physics)
In continuum mechanics, stress is a physical quantity that describes Force, forces present during Deformation (physics), deformation. For example, an object being pulled apart, such as a stretched elastic band, is subject to Tension (physics), ''tensile'' stress and may undergo Elongation (materials science), elongation. An object being pushed together, such as a crumpled sponge, is subject to Compression (physics), ''compressive'' stress and may undergo shortening. The greater the force and the smaller the cross-sectional area of the body on which it acts, the greater the stress. Stress has Dimension (physics), dimension of force per area, with SI Units, SI units of newtons per square meter (N/m2) or Pascal (unit), pascal (Pa). Stress expresses the internal forces that neighbouring particles of a continuous material exert on each other, while Strain (mechanics), ''strain'' is the measure of the relative deformation (mechanics), deformation of the material. For example, when a ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Ernst Gustav Kirsch
Ernst Gustav Kirsch (September 13, 1841 – January 8, 1901) was a German engineer. Kirsch was educated at Sorbonne, in Zürich and in Berlin. He was a professor from 1874 at the Chemnitz University of Technology in Chemnitz, Germany. Kirsch is primarily known for the Kirsch equations The Kirsch equations describe the elastic Elastic is a word often used to describe or identify certain types of elastomer, Elastic (notion), elastic used in garments or stretch fabric, stretchable fabrics. Elastic may also refer to: Alternative n ... describing the elastic stress state around a hole. External linksUser-tu-chemnitz.de [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
