Optimization of Elastic Plastic Plates Made of Homogeneous and Composite Materials

Lellep, Jaan; Vlassov, Boriss

doi:10.1007/978-3-642-36691-8_7

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Civil Materials and Environmental Sciences1

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2013

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“…In plastic regions of the plate Hooke's law is not valid, as the stress state lies on a yield surface. In the present paper it is assumed that the material of the plate obeys a yield condition written in generalized stresses as 0 ) , , ( It can be shown that the system of governing equations in an elastic region for ); , ( 1 + ∈ j j a a r n j , 0, = … can be presented as (Lellep, Vlassov, [11], [12], [13], [14])…”

Section: Civil Materials and Environmental Sciencesmentioning

confidence: 99%

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Optimization of Stepped Elastic Plastic Plates

Lellep

Vlassov

2013

AMR

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A method of analysis and optimization of stepped plates made of elastic plastic materials is developed. The stress-strain of the plate is defined for the initial elastic and subsequent elastic plastic stages of deformation. Necessary optimality conditions are derived with the aid of variational methods of the theory of optimal control. This results in a differential-algebraic system of equations. The latter is solved numerically. The effectivity of the design established is assessed in the cases of one-and multi-stepped plates assuming the material obeys the Tsai-Wu or von Mises yield condition.

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Section: Civil Materials and Environmental Sciencesmentioning

confidence: 99%

“…Minimum weight problems for axisymmetric plates operating in the range of elastic plastic deformations were studied by Lellep and Polikarpus [10] in the case of the material obeying Tresca's yield condition and the associated flow law. The case of Von Mises material was investigated by Lellep and Vlassov [11], [12], [13], [14].…”

Section: Introductionmentioning

confidence: 99%