By Sing C. Tang and Jwo Pan
Functioning as an creation to trendy mechanics ideas and diverse purposes that care for the technological know-how, arithmetic and technical elements of sheet steel forming, this booklet information theoretically sound formulations in line with ideas of continuum mechanics for finite or huge deformation, that may then be carried out into simulation codes. The forming procedures of advanced panels by way of machine codes, as well as large useful examples, are recreated during the many chapters of this booklet in an effort to profit training engineers via aiding them larger comprehend the output of simulation software program.
desk of Contents
1. advent to standard car Sheet steel Forming procedures
2. Tensor, tension, and pressure
three. Constitutive legislation
four. Mathematical versions for Sheet steel Forming tactics
five. skinny Plate and Shell Analyses
6. Finite point equipment for skinny Shells
7. equipment of resolution and Numerical Examples
eight. Buckling and Wrinkling Analyses
in regards to the Authors
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Extra info for Mechanics Modeling of Sheet Metal Forming
20) where EO represents the reference strain, oo represents the reference stress, a represents a material constant, and E represents the hardening exponent ( E > 1). 8. This law usually is adopted for aluminum sheets. 22) where A and Bare material constants. 8, the stress approaches to a saturation stress when the plastic strain becomes large. In this figure, A - B represents the yield stress at E~ = 0, and A represents the saturation stress when the plastic strain E~ becomes infinity. Finally, the tangent modulus Et of the uniaxial stress-strain curve is a useful parameter in developing a rate-independent elastic-plastic incremental constitutive relation.
1) where Q represents the stress tensor. In general, Q is the Cauchy stress tensor based on the deformed configuration because plastic flow usually depends critically on the current plastic state. For a three-dimensional material element, the Cauchy stress tensor Q has only six components because of symmetry. Therefore, the yield function determines the so-called yield surface in the six-dimensional hyperspace. There are certain requirements for the yield surface, based on the maximum plastic work inequality.
17) k . 12. In this figure, the rectangular elements have two sides AX1 and AX2 parallel to the xl and x2 directions. 12(a), the rectangular element is elongated in the x1 direction. The elongation of AX1 in the x1 direction is Au,. 12 Elementary definitions of the strains based on simple deformation modes of a differential rectangular material element. (a) Tensile deformation in the xl direction, (b) tensile deformation in the x2 direction, and (c) shear deformation with respect to the xland x2 directions.