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Sunday, July 26, 2020 | History

3 edition of Mathematical theories of plastic deformation under impulsive loading found in the catalog.

Mathematical theories of plastic deformation under impulsive loading

John Arthur Simmons

Mathematical theories of plastic deformation under impulsive loading

by John Arthur Simmons

  • 312 Want to read
  • 22 Currently reading

Published by University of California Press in Berkeley .
Written in English

    Subjects:
  • Plasticity,
  • Deformations (Mechanics)

  • Edition Notes

    Bibliography: p. 225-229.

    Statementby J. A. Simmons, F. Hauser and J. E. Dorn.
    SeriesUniversity of California publications in engineering,, v. 5, no. 7
    Classifications
    LC ClassificationsTA1 .C15 vol 5, no. 7
    The Physical Object
    Pagination177-229 p.
    Number of Pages229
    ID Numbers
    Open LibraryOL5870853M
    LC Control Number62063111
    OCLC/WorldCa5080219

    In ductile metals, under favorable conditions, plastic deformation can con-tinue to a very large extent without failure by fracture. Large plastic strains do occur † For a complete discussion, see A. H. Cottrell, Dislocations and Plastic Flow in Crystals, Clarendon Press, Oxford (); W. T. Read, Dislocations in Crystals, McGraw-Hill Book. [Show full abstract] for predicting the plastic deformation of circular plates under impulsive loading. It can be also regarded as an attempt to use the energy method for different impulsive.

    Elastic deformation, however, is an approximation and its quality depends on the time frame considered and loading speed. If, as indicated in the graph opposite, the deformation includes elastic deformation, it is also often referred to as "elasto-plastic deformation" or "elastic-plastic deformation". The object of this paper is to provide a critical review of the current state of plasticity in the presence of finite deformation. In view of the controversy regarding a number of fundamental issues between several existing schools of plasticity, the areas of agreement are described separately from those of disagreement. Attention is mainly focussed on the purely mechanical, rate-independent.

    The accidental untying of a shoelace while walking often occurs without warning. In this paper, we discuss the series of events that lead to a shoelace knot becoming untied. First, the repeated imp. Deformations measure a structure’s response under a load, and calculating that deformation is an important part of mechanics of materials. Deformation calculations come in a wide variety, depending on the type of load that causes the deformation. Axial deformations are caused by axial loads and angles of twist are causes by torsion loads. The elastic [ ].


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Mathematical theories of plastic deformation under impulsive loading by John Arthur Simmons Download PDF EPUB FB2

Get this from a library. Mathematical theories of plastic deformation under impulsive loading. [J A Simmons].

The small elastoplastic deformation theory and the finite-element method are used to analyze the behavior of a compound disk under axisymmetric impulsive loading. Numerical results are presented, which describe the development of plastic deformation, the effect of hardening and the duration of the loading impulse on the oscillatory elastoplastic deformation of the diskCited by: 7.

INTRODUCTION introduction of rigid-plastic concepts into dynamic plasticity problems1, a considerable literature has developed on the permanent deformation of structures subjected to rapid loading. Most of the solutions utilized the simplifications offered by rigid-plastic theory while others attempted to evaluate theoretically that theory by Cited by:   A study of the plastic response of rings of different materials to different types of dynamic load is presented.

Inertial loading of rings was obtained by allowing heavy lead rings to fall freely on to flat and pointed rigid anvils and impulsive loading was obtained by subjecting stationary lead, copper and aluminium rings to a high-speed bullet or to contact by: 8. In contrast, HOPKINS, PRA(~ER ~nd WANG adopted 22 On the plastic deformation of built-in circular plates under impulsive load 23 the usual assumption of the theory of thin plates according to which the resultant effect of the bending and shearing stresses parallel to the plate surface far exceeds that of the shearing stresses normal to the Cited by: () Analytical study of plastic deformation of clamped circular plates subjected to impulsive loading.

Journal of Mechanics of Materials and Structures() Optimal design of elasto-plastic structures subjected to normal and extreme loads.

Localizations of plastic deformation such as shear band and necking have been investigated during past several decades. From experimental observations. A mathematical theory is presented for the propagation of plastic stress waves in long metal rods of material exhibiting a strain rate effect.

The theory takes account of the effects of inertia associated with radial motion and of radial shear associated with uneven changes in radius. Dynamic plastic deformation of rings under impulsive load International Journal of Mechanical Sciences, Vol.

14, No. 12 Large deflexion elastic-plastic response of certain structures to impulsive load. and plastic modes of deformation. A detailed analysis, with some numerical results, is presented for the case when the impulsive load is a uniformly distributed pressure whose magnitude varies time-wise as a rectangular pulse.

Section 1. LIST OF CONTENTS Introduction. Simplified Elastic. Viscoplastic microstructural processes in solids under impulsive thermal loading Article in Journal of Engineering Mathematics 78(1) February with 8 Reads How we measure 'reads'.

The finite elastic and plastic contributions to large deformation are defined assuming that these arise from distinct elastic and plastic mechanisms of deformation. This assumption is mathematically represented by distinct relations between the elastic and plastic deformations and the. The theory of plasticity as a special field of continuum mechanics deals with the irreversible, i.e.

permanent, deformation of solids. Under the action of given loads or deformations, the state of the stresses and strains or the strain rates in these bodies is described. In this way, it complements the theory of elasticity for the reversible behavior of solids.

The Mathematical Theory of Plastic Bending renders the 'exact' solutions of plates under pure bending in plane-strain condition. The deformation mechanism in this theory is significantly different from that in the Engineering Theory of Bending described in Chapter 1.

During bending, the neutral surface moves towards the concave surface of the. Some fundamental issues in the formulation of constitutive theories of material response based on the multiplicative decomposition of the deformation gradient are reviewed, with focus on finite deformation thermoelasticity, elastoplasticity, and biomechanics.

The constitutive theory of isotropic thermoelasticity is first considered. Typical theories of plastic flow and plastic deformation are discussed, and the concept of neutral change of stress is introduced. A neutral change of stress can be considered as a limiting case of either loading or unloading.

It therefore seems reasonable to demand that the stress‐strain relations for both loading and unloading should predict the same change of strain when applied to a.

The paper aims at introducing the reader to the principal theories of plasticity. Since a presentation of the general stress‐strain relations used in these theories would require too much space, the discussion is restricted to the mechanical behavior of plastic materials under shear.

Theories of plastic deformation (Hencky, Nadai) and theories of plastic flow (Saint Venant‐Lévy‐Mises. This provides a method for predicting the plastic deformation of circular plates under impulsive loading. It can be also regarded as an attempt to use the energy method for different impulsive.

A 'read' is counted each time someone views a publication summary (such as the title, abstract, and list of authors), clicks on a figure, or views or downloads the full-text. plastic deformation without becoming unstable.

The ratio of the total deformation to the elastic deformation is conventionally called the ‘ductility factor,’ µ. The ductility factor relates the elastic capacity of a structure and the impact load in a useful way, using a simple energy balance.

The experiments used steel and aluminum-alloy cantilever beams subjected to either a rapid velocity change at the base or to an impulsive load at the tip.

A rigid-plastic theory that includes the strain-rate dependence of the yield stress and geometry changes is outlined for the case of the tip impulsive loading.The advances in study on failure modes, plastic deformation, cracking and breach of thin and stiffened metal plates under blast loading were introduced.

The problems for further studying were.Hopkins H.G. () The Theory of Deformation of Non-hardening Rigid-Plastic Plates under Transverse Load. In: Grammel R.

(eds) Deformation and Flow of Solids / Verformung und Fliessen des Festkörpers. International Union of Theoretical and Applied Mechanics / Internationale Union für Theoretische und Angewandte Mechanik.