By Sing C. Tang and Jwo Pan
Functioning as an advent to trendy mechanics rules and numerous functions that care for the technology, arithmetic and technical facets of sheet steel forming, this ebook information theoretically sound formulations according to rules of continuum mechanics for finite or huge deformation, that can then be carried out into simulation codes. The forming methods of complicated panels by way of laptop codes, as well as broad sensible examples, are recreated in the course of the many chapters of this ebook so that it will profit working towards engineers via aiding them greater comprehend the output of simulation software program.
Content:
entrance topic
• Preface
• desk of Contents
1. creation to common car Sheet steel Forming techniques
2. Tensor, pressure, and pressure
three. Constitutive legislation
four. Mathematical types for Sheet steel Forming tactics
five. skinny Plate and Shell Analyses
6. Finite aspect equipment for skinny Shells
7. tools of answer and Numerical Examples
eight. Buckling and Wrinkling Analyses
Index
• in regards to the Authors
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Additional info for Mechanics Modeling of Sheet Metal Forming
Example text
16. , 1956. 16 An engineering stress-strain curve and the corresponding true stress-strain curve. CHAPTER 3 Constitut ive In uniaxial tensile tests of ductile sheet metals, stress-strain curves usually become nonlinear when the strains are large. 1 shows a schematic of the stress-strain curve from a tensile test. In this figure, (T represents the tensile stress, and E represents the tensile strain. Also in this figure, the initial part of the curve is linear. As the strain E continues to increase, the stress-strain curve becomes nonlinear.
9 into Eq. 10 and using the divergence theorem, we can rewrite Eq. 11) Because Eq. 12) When we consider the angular moment equation, the stress tensor Q can be shown to be symmetric as Therefore, for three-dimensional solids where the indices range from 1 to 3, the stress tensor Q has six components. 14) For a typical sheet metal forming process, the contribution of the acceleration term is quite small; therefore, quasi-static modeling based on the local equilibrium equations is reasonable. When the magnitudes of the body force 4 are much smaller than those involving the stress components oij,Eq.
Isotropic and anisotropic linear elastic responses of materials are discussed first. Deviatoric stresses and strains then are introduced for the development of plasticity theories. Then, we concentrate on the nonlinear or strain hardening response of materials. We begin with simple mathematical models for uniaxial tensile stress-strain relations. Then we concentrate on the yield conditions under general stress states for isotropic incompressible materials. We also discuss the yield conditions for plastic anisotropic materials.