Finite element modeling of photoplastic processes: Upset forging of rings

Abstract Critical numerical (finite-element) solutions for the upset forging of photoplastic rings were obtained to assess the validity of photoplasticity and the effect of hydrostatic pressure in yielding. When compared with experiments, qualitative and quantitative results from numerical solutions—in the distributions of three-dimensional (unloaded) strain components, isochromatic fringes and deformed profiles—supported the notion that photoplasticity is a feasible and accurate method.

[1]  E. P. Popov,et al.  Accuracy and stability of integration algorithms for elastoplastic constitutive relations , 1985 .

[2]  J. Nagtegaal,et al.  Some computational aspects of elastic-plastic large strain analysis , 1981 .

[3]  R. S. Raghava,et al.  The macroscopic yield behaviour of polymers , 1973 .

[4]  C. P. Burger,et al.  Three-dimensional strains in rolled slabs by photoplastic simulation , 1982 .

[5]  W. F. Riley,et al.  Optical response and yield behavior of a polyester model material , 1977 .

[6]  Sia Nemat-Nasser,et al.  On finite plastic flows of compressible materials with internal friction , 1980 .

[7]  J. Rice,et al.  Finite-element formulations for problems of large elastic-plastic deformation , 1975 .

[8]  Yoshiaki Yamada,et al.  Constitutive modelling of inelastic behavior and numerical solution of nonlinear problems by the finite element method , 1978 .

[9]  Accuracies of numerical solution methods for the pressure‐modified von Mises model , 1988 .

[10]  M. Gadala,et al.  Numerical solutions of nonlinear problems of continua—I: Survey of formulation methods and solution techniques , 1984 .

[11]  J. L. F. Freire,et al.  Yield behavior of photoplastic materials , 1980 .

[12]  C. P. Burger,et al.  THREE-DIMENSIONAL STRAIN FIELD FOR A HOT ROLLED BILLET BY PHOTOPLASTIC SIMULATION , 1980 .

[13]  Mahito Kunogi A New Method of Cold Extrusion , 1957 .

[14]  C. P. Burger,et al.  Nonlinear photomechanics , 1980 .

[15]  J. Lee Characterization of strain hardening for a simple pressure-sensitive plasticity model , 1989 .

[16]  R. S. Raghava,et al.  A macroscopic yield criterion for crystalline polymers , 1973 .

[17]  J. Nagtegaal On the implementation of inelastic constitutive equations with special reference to large deformation problems , 1982 .

[18]  K. Bathe,et al.  FINITE ELEMENT FORMULATIONS FOR LARGE DEFORMATION DYNAMIC ANALYSIS , 1975 .

[19]  J. H. Lee Upper bound analysis of the upsetting of pressure-sensitive polymeric rings , 1988 .

[20]  J. Javornický Plastic stress and strain concentration factors in a strip with a hole or notches under tension , 1968 .

[21]  Rodney Hill,et al.  Some basic principles in the mechanics of solids without a natural time , 1959 .

[22]  C. P. Burger,et al.  Three-dimensional strain distributions in upset rings by photoplastic simulation , 1981 .

[23]  Jonah H. Lee Research note on a simple model for pressure-sensitive strain-hardening materials , 1988 .