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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 used in garments or stretchable fabrics. Elastic may also refer to: Alternative name * Rubber band, ring-shaped band of rubber used to hold objects togeth ... stresses around the hole in an infinite plate in one directional tension. They are named after Ernst Gustav Kirsch. Result Loading an infinite plate with circular hole of radius ''a'' with stress ''σ'', the resulting stress field is: \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 Ingenieure, 42, 797–807. Solid mechanics ... [...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 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 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 directly proportional to the distance of ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Stress (physics)
In continuum mechanics, stress is a physical quantity. It is a quantity that describes the magnitude of forces that cause deformation. Stress is defined as ''force per unit area''. When an object is pulled apart by a force it will cause elongation which is also known as deformation, like the stretching of an elastic band, it is called tensile stress. But, when the forces result in the compression of an object, it is called compressive stress. It results when forces like Tension (physics), tension or Compression (physics), compression act on a body. The greater this force and the smaller the cross-sectional area of the body on which it acts, the greater the stress. Therefore, stress is measured in newton per square meter (N/m2) or pascal (Pa). Stress expresses the internal forces that neighbouring particles of a continuous material exert on each other, while deformation (mechanics)#Strain, strain is the measure of the deformation of the material. For example, when a solid vertic ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Ernst Gustav Kirsch
Ernst Gustav Kirsch (September 13, 1841 – January 8, 1901) was a German engineer. He 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 used in garments or stretchable fabrics. Elastic may also refer to: Alternative name * Rubber band, ring-shaped ... describing the elastic stress state around a hole. External linksUser-tu-chemnitz.de [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
