2 edition of **Uniqueness of elastic-plastic interface motions.** found in the catalog.

Uniqueness of elastic-plastic interface motions.

Michael John Kenning

- 29 Want to read
- 17 Currently reading

Published
**1974**
by University of East Anglia in Norwich
.

Written in English

**Edition Notes**

Thesis(Ph.D.) - University of East Anglia, School of Mathematics and Physics, 1974.

ID Numbers | |
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Open Library | OL13845515M |

Elastic Perfectly Plastic Materials Once yield occurs, a material will deform plastically. Predicting and modelling this plastic deformation is the topic of this section. For the most part, in this section, the material will be assumed to be perfectly plastic, that is, there is no work hardening. Plastic Strain IncrementsFile Size: KB. Elastic behavior of materials is the ability of a body to resist a distorting deforming force & to return to its original size & shape when that force is removed. Learn mroe at BYJU'S.

Figure 2. Response of a Simple Beam; (a) Elastic (b) Elastic-Plastic (c) Fully Plastified (Beedle ). The bending moment diagrams for the beam and the strain and stress distributions at the mid-span section for the entire range of loading up to full plastification are shown in Figure 2. The initial response of the beam under loading is Size: KB. In physics and materials science, plasticity, also known as plastic deformation, is the ability of a solid material to undergo permanent deformation, a non-reversible change of shape in response to applied forces. For example, a solid piece of metal being bent or pounded into a new shape displays plasticity as permanent changes occur within the material itself.

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This Uniqueness of uniaxial elastic-plastic interface motions matching, together with the interface conditions (discussed below), makes it possible to express the relations for the interface velocity and its derivatives in terms of the partial derivatives of the initial by: 1.

It has been shown that six essentially different types of motion can occur, and, when the constitutive equations are linear, each type of motion is unique. This result is extended to the non-linear situation, by means of an established local expansion procedure.

A systematic discussion of the existence and uniqueness of spherically symmetric (Part I), and cylindrically symmetric (Part II), elastic-plastic interfaces is presented using non-linear constitutive laws. The work generalises results obtained by various authors, using both linear and non linear constitutive by: 2.

Uniqueness of elastic-plastic interface motions. Author: Kenning, M. ISNI: Awarding Body: University of East Anglir Current Institution: University of East Anglia Date of Award: Availability of Full Text: Access from EThOS. EXISTENCE AND UNIQUENESS OF SPHERICALLY-SYMMETRIC ELASTIC-PLASTIC INTERFACE MOTIONS By M.

KENNING School of Mathematics and Physics, University of East Anglia, Norwich, England (Received 20th June ) SUMMARY THE SPHERICALLY-SYMMETRIC motion of interfaces between regions deforming elastically and those deforming plastically Cited by: 2.

Conditions for localization of deformation into a planar (shear) band in the incremental response of elastic–plastic saturated porous media are derived in. A general theory of uniqueness and stability in elastic-plastic solids Lemma II.

In an elastic element there is the easily verified identity 2 (a + 6a) At + At K A== A [ (o- + (9plastic element, for h ^> 0, 2 (ff + 6r) Ae + [AC A Ae - ^"^-^'l Cited by: In typical metallic contacts, stresses are very high and result in yielding of the material.

Therefore, the study of contacts which include simultaneous elastic and plastic deformation is of critical importance. UNIQUENESS THEOREMS IN PLASTIC ANALYSIS CE | Structural Design and Optimization Spring, Assumptions: † All external loads increase in proportion to one another.

† The behavior is elastic-plastic. † The deformations are small. File Size: 21KB. Sticking purely to EFM in this book, we will be concerned with the interaction of ﬂow, mass and heat with man-made facilities and with the local environment.

This text is the ﬁrst Part in a two-part book to accompany a two-semester course in Envi-ronmental Fluid Mechanics. In this Part, Mixing and Transport Processes in the Environment,File Size: 1MB.

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Our modular system helps customers create beautiful interior spaces which positively impact the people who use them and our planet. The purpose of this study was to characterize the elastic and plastic mechanical properties and creep behavior of Li.

Elastic properties were measured using an acoustic technique (pulse-echo). The Young’s modulus, shear modulus, and Poisson’s ratio. Dental Material DH review Book Questions.

STUDY. Flashcards. Learn. Write. Spell. Test. PLAY. Match. Gravity. Created by. slguernsey. Terms in this set (45) The proportional limit of a material is the stress.

beyand which plastic deformation begins to occur. The amount of deformation or change in the length of a dental material is called.

Rayleigh-Taylor-instability experiments with elastic-plastic materials with a high-speed camera to track the motion of the interface at various phases of the instability.

of ten unique. made of elastic plastic bounded linearly kinematic hardening material. Its concept can be briefly described as: Hardening law is simulated using a two-surface plastic model.

One yield surface is the initial surface, defined by yield stress V y, and the other one is the bounding surface, defined by ultimate strength V u. An elastic-plastic constitutive equation can be probabilistically integrated at each material integration (Gauss) point using the strain from the finite.

The general system of equations governing the three-dimensional motion of an elastic body in the material description is strongly nonlinear. Many wave propagation effects in elastic solids are described by a linearized theory. unique measurement of ε This leads obviously to a null volume strain: ε ε ε εv 11 22 33= + + =* * 0 (5) and to a true stress: 11 22 33 11* exp * * exp() () 0 0 F F S S σ ε ε ε= − − = (6) Finally the observable σ* is considered as depending only on the measurement of ε An example of representation of σand σ* is given in.

In this paper the analytical solution to the Riemann problem for the Antman–Szymczak model of longitudinal motion in an elastic-plastic bar is constructed. The model involves two surfaces corresponding to plastic yield in tension and compression, and exhibits the appropriate limiting behavior for total by: where here the constant c2 is the ratio of the rigidity to density of the beam.

An interesting nonlinear3 version of the wave equation is the Korteweg-de Vries equation u t +cuu x +u xxx = 0 which is a third order equation, and represents the motion of waves in shallow water, as wellCited by: 2.

Elastic - plastic analysis of crack on bimaterial interface Ruzica R. Nikolic ⁄ Jelena M. Veljkovic y Theoret. Appl. Mech., Vol, No.3, pp.

{, Belgrade Abstract In this paper are presented solutions for the stress and dis-placement ﬂelds for a crack that lies along the interface .Search the world's most comprehensive index of full-text books. My library.Book My is a real-time, web-based, user friendly booking and scheduling system for clubs, with unique features that characterize large scale booking systems, streamlining the process of scheduling courts, without the prohibitive costs of custom-built solutions.