Duality method in limit analysis problem of non-linear elasticity

Igor A. Brigadnov

Igor A. Brigadnov North- Western State Technical University

Abstract

The limit analysis problem (LAP) for estimation of mechanical durability for non-linear elastic solids is examined. The appropriate dual problem is formulated. After the standard piecewise linear continuous finite-element approximation, the dual LAP is transformed into the problem of mathematical programming with linear limitations as equalities. This finite dimensional problem is solved by the standard method of gradient projection.

Keywords

non-linear elastic solid, limit analysis problem, duality method,

References

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[5] I. A. Brigadnov. Numerical methods in non-linear elasticity. In J.-A. Desideri, P. Le Tallec, E. Onate, J. Periaux, and E. Stein, eds., Numerical Methods in Engineering'96, pages 158-163, Chichester, 1996. John Wiley & Sons Ltd.

Duality method in limit analysis problem of non-linear elasticity

Abstract

Keywords

References

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