Dynamic Models for Structural Plasticity

By: W. J. Stronge, William J. Stronge, Tongxi Yu

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Paperback | 25 October 1995

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308 Pages

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22.86 x 15.24 x 1.91

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Our topic is irreversible or plastic deformation of structural elements composed of relatively thin ductile materials. These deformations are commonly used in sheet metal forming operations to produce lightweight parts of any particular shape. In another context, this type of plastic deformation is described as impact damage in the case of structural components involved in collision. Here we are concerned with mechanics of both static and dynamic deformation processes. The purpose is to use typical material properties and structural characteristics to calculate the deformation for certain types of load; in particular to find the final deflection and shape of the deformed structure and to illustrate how the development of this final shape depends on the constitutive model used to represent the material behavior. The major issue to be addressed is which structural and constitutive properties are important for calculating response to either static or brief but intense dynamic loads. Furthermore, how do the results of various constitutive models compare with observed behavior.

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List of Symbols
Elastoplastic and Viscoplastic Constitutive	p. 1
Stress Resultants and Generalized Stress - Deformations and Generalized Strain	p. 1
Pure Bending of Rate-Independent Bar	p. 2
Pure Bending of Rate-Dependent Bar	p. 9
Interaction Yield Functions and Associated Plastic Flow	p. 12
Interaction Yield Surfaces Including Shear	p. 19
Elastic Springback	p. 23
Principles of Mechanics	p. 29
Kinematics	p. 29
Balance of Forces	p. 31
Principle of Virtual Velocity	p. 34
Bounds For Rigid-Perfectly Plastic Solids and Structures	p. 37
Dynamic Modes Of Deformation	p. 44
Static Deflection	p. 51
Small Elastic-Plastic Deflections	p. 51
Large Elastic-Plastic Deflections	p. 63
Dynamic Rigid-Plastic Response	p. 73
Step Loading	p. 73
Rectangular Pulse Loading	p. 80
Features of Travelling Hinges	p. 88
General Pulse Loading	p. 90
Impact on Cantilever	p. 96
Second-Order Effects on Dynamic Response	p. 111
Strain-Rate Effect	p. 111
Strain Hardening (Strain Softening) Effect	p. 120
Effects of Transverse Shear and Rotary Inertia	p. 132
Effect of Large Deflection	p. 149
Effect of Elastic Deformation	p. 157
Accuracy of Rigid-Plastic Analyses	p. 182
More Complex Configurations	p. 191
General Considerations	p. 192
Straight Cantilevers with Smoothly Varying Cross-Sections	p. 199
Oblique Impact on Straight Cantilever	p. 204
Circular Arc Cantilever Subjected to In-plane Step Force	p. 215
Circular Arc Cantilever Subjected to In-plane Impact	p. 224
Circular Arc Cantilever Subjected to Out-of-Plane Step Force	p. 232
Stepped or Bent Cantilever Subjected to Step Force	p. 241
Cantilever with an Initial Crack	p. 250
Impact Experiments	p. 259
Methods of Applying Dynamic Loads	p. 259
Travelling Hinges - Fiction or Fact?	p. 262
Elastic Effects on Plastic Deformation	p. 265
Strain Hardening and Strain-Rate Effects	p. 266
Dynamic Rupture	p. 270
Index	p. 277
Table of Contents provided by Blackwell. All Rights Reserved.

Dynamic Models for Structural Plasticity

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Paperback

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