论文信息 - MINIMIZATION APPROACH TO LIMIT SOLUTIONS OF PLATES

MINIMIZATION APPROACH TO LIMIT SOLUTIONS OF PLATES

Limit analysis which predicts the ultimate load carrying capacity of a structure or machinery provides very useful information especially for designs that must survive accidents and abnormal conditions. In this paper, maximization of lower bound formulation and minimization of upper bound formulation are presented as primal and dual problems respectively. The dual problem is solved by a minimization procedure for circular, triangular and square plates with three types of boundary conditions and two types of loadings. A detailed parametric analysis for a cracked plate is also given to demonstrate the effectiveness of this approach.

Wei H. Yang

[1] K. Washizu. Variational Methods in Elasticity and Plasticity , 1982 .

[2] On a class of optimization problems for framed structures , 1978 .

[3] F. J. Plantema,et al. Sandwich Construction: The Bending and Buckling of Sandwich Beams, Plates and Shells , 1966 .

[4] H. Balmer,et al. Elastoplastic and creep analysis with the ASKA program system , 1974 .

[5] D. C. Drucker,et al. A DEFINITION OF STABLE INELASTIC MATERIAL , 1957 .

[6] E. H. Mansfield,et al. Studies in collapse analysis of rigid-plastic plates with a square yield diagram , 1957, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.

[7] Wei H. Yang. A PRACTICAL METHOD FOR LIMIT TORSION PROBLEMS , 1979 .

[8] E. Polak. Introduction to linear and nonlinear programming , 1973 .

[9] S. Timoshenko,et al. THEORY OF PLATES AND SHELLS , 1959 .

[10] H. Balmer,et al. Extensions to the elastoplastic analysis with the aska program system , 1978 .

[11] Stuart R. Daniels. Inelastic steel structures , 1966 .

[12] W. Prager,et al. Theory of perfectly plastic solids , 1968 .

[13] Aris Phillips,et al. Plastic Analysis of Structures , 1959 .