By Sing C. Tang and Jwo Pan
Functioning as an advent to fashionable mechanics ideas and numerous purposes that take care of the technological know-how, arithmetic and technical elements of sheet steel forming, this booklet information theoretically sound formulations in response to rules of continuum mechanics for finite or huge deformation, which may then be applied into simulation codes. The forming strategies of complicated panels by means of machine codes, as well as large sensible examples, are recreated during the many chapters of this e-book with a view to gain training engineers by means of assisting them greater comprehend the output of simulation software program.
desk of Contents
1. advent to commonplace car Sheet steel Forming methods
2. Tensor, pressure, and pressure
three. Constitutive legislation
four. Mathematical types for Sheet steel Forming methods
five. skinny Plate and Shell Analyses
6. Finite aspect equipment for skinny Shells
7. equipment of answer 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
7(b) shows an elastic power-law strain hardening model. 7(c) shows a RambergOsgood model. 7 (a) Pure power-law strain hardening model, (b) elastic power-law strain hardening model, and (c) Ramberg-Osgood stress-strain model. 7) Here, n is the hardening exponent, and Kis a material constant. 12) E When 0 = oo,then E = so. At this point of the stress-strain cusve, both the linear and the power-law stsess-strain relations must be satisfied. 14) E From Eq. 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).
2% strain offset usually is used to determine the yield stress 00. 2% offset yield stress. 4, as the strain continues to increase, the stress increases nonlinearly. When the strain decreases, the stress decreases, and the stress-strain curve usually follows the curve with the slope of the elastic modulus E. When the stress decreases to 0, the strain decreases by the amount of the elastic strain I,. 4, when the stress decreases to 0, some nonrecoverable strain iP remains, which is defined as the plastic strain.
There are certain requirements for the yield surface, based on the maximum plastic work inequality. 9 schematically shows a yield surface B that is described by the yield function f = 0 in the stress space. Here, Q represents the stress on the yield surface, and a 0 represents a stress inside the yield surface. The maximum plastic work inequality [Drucker, 1951; Rice, 19701 indicates that the dyadic product of a - c0and d e P must be equal to or larger than 0 (a- GO) : deP 2 0 where deP is the plastic strain increment under the stress Q.