2 edition of **Thick-body bifurcations of elastic and elastic/plastic solids in plane strain** found in the catalog.

Thick-body bifurcations of elastic and elastic/plastic solids in plane strain

Dubey, R. N.

- 127 Want to read
- 37 Currently reading

Published
**1975** by Solid Mechanics Division, University of Waterloo Press in [Waterloo, Ont.] .

Written in English

- Elastic solids.,
- Bifurcation theory.

**Edition Notes**

Includes bibliographical references.

Statement | by R. N. Dubey. |

Classifications | |
---|---|

LC Classifications | QA935 .D73 |

The Physical Object | |

Pagination | 96 p. : |

Number of Pages | 96 |

ID Numbers | |

Open Library | OL4605549M |

LC Control Number | 77368784 |

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 .

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Get this from a library. Thick-body bifurcations of elastic and elastic/plastic solids in plane strain: a correlation study using principal axes technique. [R N Dubey]. Plane strain bifurcations of elastic layered structures subject to finite bending: theory versus experiments S.

ROCCABIANCA, M. GEI AND D. BIGONI∗ Department of Mechanical and Structural Engineering, University of Trento, Via Mesi I Trento, Italy ∗Corresponding author: [email protected] Properties of discontinuous bifurcation solutions for elastic‐plastic solids are established for conventional test conditions that are pertinent to experiments on soil, powder, and rock.

Typically, such conditions are characterized as plane strain and axisymmetry. The bifurcations of the Lamé elastic solution for a radially tensioned annulus are investigated within the context of the plane-strain approximation.

It is shown that the preferred deformation mode. Wiley, New York. Thick Body Bifurcations of Elastic and Elastic I Plastic Solids in Plane Strain: A Correlation Study Using Principal Axes Technique, Special Publication, Solid Mechanics Division, Uni- versity of Waterloo Press.

Mech. Phys. Solids 6, a Problems of Continuum Mechanics, contributions in Honor of the Seventieth Birthday of Academician N. Muskhelishvili, Cited by: We have considered the in-plane Thick-body bifurcations of elastic and elastic/plastic solids in plane strain book of the classical plane-strain Lamé solutions for a St.

Venant–Kirchhoff elastic solid. One of the main aims of this work has been to explore the applicability of the asymptotic strategy proposed in [11], [14] to the case when the bifurcations are associated with a stressed rather than a free by: 1. On the bifurcations of the Lamé solutions in plane-strain elasticity.

´ solutions in plane-strain elasticity $ Elastic instabilities of bulky solids and thick-walled structural. Conditions for discontinuous bifurcations of the incremental fields in elastic-platic materials subjected to the condition of either plane stress or plane strain are derived and explicit expressions for the critical hardening modulus and the corresponding bifurcation directions are obtained for a quite general class of plasticity by: TENSILE CRACKS IN ELASTIC-IDEALLY PLASTIC SOLIDS W.

DRUGAN,* J, R. RICES and T-L. SHAM$ Department of Engineering Mechanics, University of Wisconsin, Madison, WIU.S.A. (Receiord 30 March ) ABSTRACT AN EXACT asymptotic analysis is presented of the stress and deformation fields near tip a quasi- statically advancing plane strain.

Mech. Phys. Solids Vol. 38, No. 6, pp.Printed in Great Britain. $+O.o0 0 Pergamon Press plc BIFURCATIONS OF COMPRESSIBLE PRESSURE- SENSITIVE MATERIALS IN PLANE STRAIN TENSION AND. what are the elastic strain, plastic strain, and total strain in terms of σ and E.

Suppose a material’s % offset yield strength is σ and the modulus of elasticity is E. When the stress reaches σ, what are the elastic strain, plastic strain, and total strain in terms of σ and E. analytical solutions for the onset of strain localization in elastic–plastic solids assume isotropic elasticity and coaxial plastic properties.

Here, a new analytical solution is presented Thick-body bifurcations of elastic and elastic/plastic solids in plane strain book the plastic normals are not coaxial but the analysis is restricted to plane strain and plane stress loadings.

For the case of plane strain, where the strains in the z direction are considered to be negligible, the stress-strain stiffness relationship for an isotropic material becomes, The three zero'd strain entries Thick-body bifurcations of elastic and elastic/plastic solids in plane strain book the strain vector indicate that we can ignore their associated.

keywords. Finite deformation plasticity, elastically rigid deformation, plane strain, anisotropy, slipline theory, strong discontinuities. Introduction. In the theory of elastically rigid plasticity elastic strains are neglected and stresses are determinate only during plastic ﬂow.

It is suitable for problems involving large plasticCited by: 1. Summary. Thick-body bifurcations of elastic and elastic/plastic solids in plane strain book the generation of plane waves in metal plates by detonation of contact explosives, the pressures reached can be sufficiently high to produce finite elastic and plastic strain components, and appreciable changes in temperature due to thermo-mechanical coupling by: Bifurcations of a coated, elastic cylinder Article in International Journal of Solids and Structures 38() July with 23 Reads How we measure 'reads'.

Plane Strain of Elastic Solid The formation of the element stiffness matrix for plane elasticity will be used to illustrate these computations. The element matrix is given by (the details are in Chapter 1) () In program terminology this becomes ().

Quasistatically propagating plane stress tensile and anti-plane strain cracks in an elastic-perfectly-plastic solid have been studied. In the plastic loading zone, based on the basic equations of the Prandtl-Reuss flow rule and the Huber-Mises yield criterion, the stresses and particle velocities have been expanded in a power series of the distance y to the by: On the other hand, so far, available analytical solutions for the onset of strain localization in elastic–plastic solids assume isotropic elasticity and coaxial plastic properties.

Then, an elastic-plastic loading path in the stress space is proposed to model the plastic yield phenomenon in solids. Based on this stress path and the ideas of Godunov and Zwas for the formulation of finite difference schemes, a finite difference method is developed to treat the elastic-plastic wave motion in solids under plane by: 8.

Taylor-Like Bifurcations for a Compressible Isotropic Elastic Tube Article in Mathematics and Mechanics of Solids 19(8) November with 14 Reads How we measure 'reads'. Internal strain within a metal is either elastic or c strain is not permanent, while the plastic is.

In the case of elastic strain this is observed as a distortion of the crystal lattice, in the case of plastic strain this is observed by the presence of dislocations –the displacement of part of the crystal strain effects can result in unwanted cracking of the. for the rolling contact cases when large plastic deformation devel-ops.

In addition, these methods are generally limited to two-dimensional rolling contact problems. Elastic-plastic stress analyses of rolling contact using the ﬁnite element ~FE.

methods were conducted by Hahn and his co-workers @11–16#, Xu and Jiang @10#, and Jiang et al. @17#. However, when a void grows in an elastic-plastic solid, the volume of the cavity may not Stability of void growth in an incompressible solid remain constant. As suggested by Bilby et a1.[24], this could be one of the various possible modes of void deformation in a pure shear strain by: 2.

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 File Size: KB. The study of temporary or elastic deformation in the case of engineering strain is applied to materials used in mechanical and structural engineering, such as concrete and steel, which are subjected to very small ering strain is modeled by infinitesimal strain theory, also called small strain theory, small deformation theory, small displacement theory, or small displacement.

One of the most important subjects for any student of engineering or materials to master is the behaviour of materials and structures under load. The way in which they react to applied forces, the deflections resulting and the stresses and strains set up in the bodies concerned are all vital considerations when designing a mechanical component such that it will not fail under predicted load.

In the generation of plane waves in metal plates by detonation of contact explosives, the pressures reached can be sufficiently high to produce finite elastic and plastic strain components, and appreciable changes in temperature due to thermomechanical coupling effects.

A theory of elastic—plastic deformation is developed to include these conditions. Finite elastic and plastic Cited by: Simulating elastic, plastic, and rheological deformations in a coherent manner.

ON ELASTIC SOLIDS WITH LIMITING SMALL STRAIN: MODELLING AND ANALYSIS MIROSLAV BUL ICEK, JOSEF M ALEK, K. RAJAGOPAL, AND ENDRE S ULI Abstract. In order to understand nonlinear responses of materials to external stimuli of di er-ent sort, be they of mechanical, thermal, electrical, magnetic, or of optical nature, it is useful to.

Stress analysis of an elliptical inhomogeneity in an infinite isotropic elastic plane is a classical elasticity problem, which is usually solved by means of the complex variable formulation.

In this work, we demonstrate that an alternative method of solution for such a problem, via the equivalent inclusion method, may be more convenient and straightforward without recourse to complex Cited by: The material has now moved into the region referred to as plastic deformation.

In practice, it is difficult to identify the exact point at which a material moves from the elastic region to the plastic region. As shown in the figure below, a parallel line offset by strain is drawn.

All materials have an elastic limit beyond which, if continuous stress is applied, they will start losing their ability to exhibit perfect elastic behaviour and start deforming. In contrast, plastic deformation is the non-reversible deformation of solid materials on the application of forces.

Original question: > What is the difference between plane-strain modulus (PSM) and modulus of elasticity (E). For a uniaxially compressed sphere - why is PSM = 2.(E).

Context for the question: [Reference using the term PSM] > If you may turn to K. The advantages of the approach are (1) plastic deformation modes are associated with the elastic anisotropic behavior, (2) the spectral decomposition of the tangent tensor is readily available for a bifurcation analysis, (3) the composite yield surface has vertices which are thought to be important for predicting plastic buckling, and (4) the Cited by: The Theory of Elastic-Plastic Deformation at Finite Strain with Induced Anisotropy Modeled as Combined Isotropic-Kinematic Hardening, Journal of the Mechanics and Physics of Solids Cited by: 7.

Plastic deformation is defined as permanent, non-recoverable deformation. Plastic deformation is not linear with applied stress. Recall if a material experiences only elastic deformation, when the stress is removed the elastic strain will be recovered.

If a material is loaded beyond its yield point it experiences both elastic and plastic Size: KB. A Note on the Derivation of Plane-Strain Elastic Green’s Functions for Bimaterial Solids J.

Appl. Mech (November, ) Antisymmetric Bifurcations in a Compressible Pressure-Sensitive Circular Cylinder Under Axisymmetric Tension and CompressionCited by: 4.

Elastic Wave Propagation in Transversely Isotropic Media (Mechanics of Elastic and Inelastic Solids) Softcover reprint of the original 1st ed. Edition. by Robert G. Payton (Author) › Visit Amazon's Robert G. Payton Page. Find all the books, read about the author, and more.

Cited by: Plane elastic deformation (Mathematical physics series) Paperback – January 1, by R Tiffen (Author) › Visit Amazon's R Tiffen Page. Find all the books, read about the author, and more. See search results for this author. Are you an author.

Learn about Author Central. R Author: R Tiffen. Define elastic strain. elastic strain synonyms, elastic strain pronunciation, elastic strain translation, English dictionary definition pdf elastic strain.

Characterization of Elastic and Plastic Behaviors in Steel Plate Based on Eddy Current Technique Using a Portable Impedance Analyzer. What is the contribution of the singular stress.Summary. Stability of plastic deformation at the level of a homogeneous material element imbedded in a deforming continuum is discussed.

Distinction is made between instability of equilibrium and instability of uniform straining of the by: 2.Elastic and Plastic Deformation •Introduced stress, strain and modulus of elasticity • Plastic deformations of ebook crystal metals - In the single crystal metal - slip mechanism: dislocations move through the metal -Slip process begins within the crystal when the shear stress on the slip plane in slip.