Sensitivity Analysis of Nonlinear Material and Its Application to Shape Optimization

A direct sensitivity analysis technique for the path dependent nonlinear problem based on the updated lagrangian formulation is suggested in which the elastoplastic material of bilinear constitutive law is assumed. For such a material property, the design sensitivities are discontinuous at the material transition points. The incremental equilibirum equation is differentiated with respect to the design variables to derive the sensitivity equations, which ar solved during the Newton Raphson iterative scheme of response analysis

[1]  K. Yamazaki,et al.  Three-dimensional shape optimization using the boundary element method , 1994 .

[2]  Makoto Ohsaki,et al.  Design sensitivity analysis of elastoplastic structures , 1994 .

[3]  Jasbir S. Arora,et al.  Design optimization of non‐linear structures with rate‐dependent and rate‐independent constitutive models , 1993 .

[4]  K. Yamazaki,et al.  THREE-DIMENSIONAL SHAPE OPTIMIZATION USING BOUNDARY ELEMENT METHOD , 1993 .

[5]  J. Arora,et al.  NUMERICAL IMPLEMENTATION OF DESIGN SENSITIVITY ANALYSIS OF ELASTOPLASTIC STRUCTURES , 1993 .

[6]  Mokhtar S. Bazaraa,et al.  Nonlinear Programming: Theory and Algorithms , 1993 .

[7]  M. Kegl,et al.  An approach to optimal design of structures with non‐linear response , 1993 .

[8]  M. Kamat.  Design Sensitivity Analysis Of Nonlinear Structures Iii: Shape Variation Of Viscoplastic Structures , 1993 .

[9]  A. Siemaszko,et al.  Sensitivity of plastic optimal structures to imperfections and non-linear geometrical effects , 1991 .

[10]  Creto Augusto Vidal,et al.  The consistent tangent operator for design sensitivity analysis of history-dependent response , 1991 .

[11]  Jasbir S. Arora,et al.  Nonlinear structural design sensivitity analysis for path dependent problems. Part 1: General theory , 1990 .

[12]  Jasbir S. Arora,et al.  Nonlinear structural design sensitivity analysis for path dependent problems. Part 2: Analytical examples , 1990 .

[13]  T. Hisada.  Basic formulation for elastic-plastic stochastic finite element method. Sensitivity analysis of nonlinear FEM. , 1990 .

[14]  Jasbir S. Arora,et al.  Variational method for design sensitivity analysis in nonlinear structural mechanics , 1988 .

[15]  Jan Sokolowski,et al.  Design sensitivity analysis of elastic-plastic analysis problems , 1988 .

[16]  Martin P. Bendsøe,et al.  SENSITIVITY ANALYSIS AND OPTIMIZATION OF ELASTIC-PLASTIC STRUCTURES , 1987 .

[17]  Jasbir S. Arora,et al.  Structural design sensitivity analysis of nonlinear response , 1985 .

[18]  H. Saunders,et al.  Finite element procedures in engineering analysis , 1982 .

[19]  Giulio Maier,et al.  Optimum design of plastic structures under displacement constraints , 1981 .