2 edition of **Spherically symmetric motions of elastic and elastic-plastic materials.** found in the catalog.

Spherically symmetric motions of elastic and elastic-plastic materials.

Frank Bent

- 261 Want to read
- 20 Currently reading

Published
**1971**
by University of East Anglia in Norwich
.

Written in English

**Edition Notes**

Thesis (M.Phil.) - University of East Anglia, School of Mathematics and Physics, 1971.

ID Numbers | |
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Open Library | OL13844939M |

The motion of a self-gravitating hyperelastic body is described through a time-dependent mapping from a reference body into physical space, and its material properties are determined by a. Cavitation instabilities in elastic-plastic solids under spherically-symmetric and axisymmetric loadings were investigated using the finite element method. Both quasi-static and dynamic analyses.

We present an approximate description of the behavior of an elastic-plastic material processed by a cylindrically or spherically symmetric converging shock, following Whitham's shock dynamics theory. Originally applied with success to various gas dynamics problems, this theory is presently derived for solid media, in both elastic and plastic. Axially & Spherically Symmetric Solutions for Elastic-Plastic Solids Under Quasi-Static Loading Spherically Symmetric Solution for Large Strain Elasticity Problems Simple Dynamic Solutions for Linear Elastic Solids 5. Analytical Techniques and Solutions for Linear Elastic .

An important problem in quantum mechanics is that of a particle in a spherically symmetric potential, i.e., a potential that depends only on the distance between the particle and a defined center particular, if the particle in question is an electron and the potential is derived from Coulomb's law, then the problem can be used to describe a hydrogen-like (one-electron) atom (or ion). 2 Lagrangian approach for static spherically symmetric vac-uum solutions To begin with, we recall the action for modiﬁed F(R)-theories: S = 1 2κ2 Z d4x √ −gF(R), (4) where g is the determinant of metric tensor gµν and F(R) is a generic function of the Ricci scalar R. We shall look for static spherically symmetric (SSS) solutions of the.

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T he spherically-symmetric motion of interfaces between regions deforming elastically and those deforming plastically is considered.

It has been shown elsewhere (for example, in work by L.W. M orland and A.D. C ox () and M.J. K enning ()) that, during both spherically-symmetric and uniaxial motions in rate-independent materials, six essentially different types of motion can by: 2.

The character of the wave motion produced in an elastic-plastic body of infinite extent by the application of a uniform pressure p (t) to the surface of a spherical cavity is known to depend upon the magnitude of p(0) in relation to the critical pressure p cr = Y(0) (1 − v)/(1 − 2v), where Y (0) is the initial yield stress and v the Poisson's ratio of the by: A solution is constructed for the wave motion induced by the application of a continuously increasing uniform pressure on the surface of a spherical cavity in an infinite elastic-plastic medium.

The small amplitude linearization in conjunction with parabolic work-hardening leads to constant wave speeds in both elastically and plastically deforming regions, so that linear wave function Cited by: 7. Zelenina A.A., Zubov L.M. () Spherically Symmetric Deformations of Micropolar Elastic Medium with Distributed Dislocations and Disclinations.

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First Online 28 February Cited by: 1. Our intention in this paper is to discuss two different equations of state in the static and spherically symmetric context with two different materials. In [6] the familiar Kirchhoff-St. Venant stored energy functional for hyper-elastic isotropic materials has been extended to the relativistic case.

Recall that this functional is quadratic in theCited by: 6. T wo closed-form radially symmetric elastic-plastic wave solutions, corresponding to spherical cavity loadings, are compared to numerical solutions constructed by a finite difference code.

An infinitesimal strain theory, with plastic incompressibility, a Mises yield condition and either perfectly plastic flow or parabolic work hardening, allows wave function representations in both elastically.

We developed an analytical model for the elastic-plastic response of a compressible material from the uniform expansion of a spherically symmetric cavity. Previous models consider the material as incompressible.

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We present an approximate description of the behavior of an elastic-plastic material processed by a cylindrically or spherically symmetric converging shock, following Whitham's shock dynamics theory.

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The response can be elastic, elastic-plastic or completely plastic depending on the structure and bonding type of the material as well as the shape and size of the » In this case, it was found that the idealization of plastic deformation by an expanding cavity concept is a satisfactory one.A void in an infinite elastic-plastic material grows without bound when a cavitation stress limit is reached.

Such unstable void expansion, driven by the elastic energy stored in the surrounding material, has been studied for the relatively simple case of spherically symmetric conditions and also for a spherical void in an axisymmetric remote stress field.axially and spherically symmetric solutions to quasi-static elastic-plastic problems.

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