Dynamic Models for Structural Plasticity
This text deals with the irreversible deformation of structural elements composed of ductile materials. It is concerned with the mechanics of static and dynamic deformation processes that result from large loads. The aim is to develop analytical models that represent more complex material properties and structural characteristics. The behaviour of these systems is compared with experimental measurements of structural response. Methods of incorporating elastic-plastic deformations and...
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This text deals with the irreversible deformation of structural elements composed of ductile materials. It is concerned with the mechanics of static and dynamic deformation processes that result from large loads. The aim is to develop analytical models that represent more complex material properties and structural characteristics. The behaviour of these systems is compared with experimental measurements of structural response. Methods of incorporating elastic-plastic deformations and interaction yield surfaces into transient structural dynamics are presented for the first time. These are used to calculate deformations for curved and non-uniform structural members. First published in 1993, this text has established itself for those teaching analytical methods of non-linear structural dynamics. This softcover edition will make an authoritative text more widely available to a variety of students.
List of Symbols1Elastoplastic and Viscoplastic Constitutive11.1Stress Resultants and Generalized Stress - Deformations and Generalized Strain11.2Pure Bending of Rate-Independent Bar21.3Pure Bending of Rate-Dependent Bar91.4Interaction Yield Functions and Associated Plastic Flow121.5Interaction Yield Surfaces Including Shear191.6Elastic Springback232Principles of Mechanics292.1Kinematics292.2Balance of Forces312.3Principle of Virtual Velocity342.4Bounds For Rigid-Perfectly Plastic Solids and Structures372.5Dynamic Modes Of Deformation443Static Deflection513.1Small Elastic-Plastic Deflections513.2Large Elastic-Plastic Deflections634Dynamic Rigid-Plastic Response734.1Step Loading734.2Rectangular Pulse Loading804.3Features of Travelling Hinges884.4General Pulse Loading904.5Impact on Cantilever965Second-Order Effects on Dynamic Response1115.1Strain-Rate Effect1115.2Strain Hardening (Strain Softening) Effect1205.3Effects of Transverse Shear and Rotary Inertia1325.4Effect of Large Deflection1495.5Effect of Elastic Deformation1575.6Accuracy of Rigid-Plastic Analyses1826More Complex Configurations1916.1General Considerations1926.2Straight Cantilevers with Smoothly Varying Cross-Sections1996.3Oblique Impact on Straight Cantilever2046.4Circular Arc Cantilever Subjected to In-plane Step Force2156.5Circular Arc Cantilever Subjected to In-plane Impact2246.6Circular Arc Cantilever Subjected to Out-of-Plane Step Force2326.7Stepped or Bent Cantilever Subjected to Step Force2416.8Cantilever with an Initial Crack2507Impact Experiments2597.1Methods of Applying Dynamic Loads2597.2Travelling Hinges - Fiction or Fact?2627.3Elastic Effects on Plastic Deformation2657.4Strain Hardening and Strain-Rate Effects2667.5Dynamic Rupture270Index277
