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Any direct boundary-value problem is defined in a certain area by a system of differential equations and respective set of boundary conditions. In structural inverse problems the above conditions can be partly unknown. Instead, we can measure certain quantities inside the investigated structure and then approximately define the whole boundary-value problem. Usually, the solutions of inverse...
This paper is a continuation and development of the dissertation[1]. Complex folded-plate structures with holes are analyzed using the Trefftz-type finite elements, which appears very effective. The shape functions of these elements (Trefftz functions) fulfill respective differential equations. Then, a certain optimization algorithm is proposed, in which an optimized structure can have a large number...
In a large class of linear, mathematically modelled engineering problems the Trefftz algorithms give accurate solutions in a relatively short computational time. Moreover, the Trefftz functions, fulfilling the governing differential equations, can be used as shape functions of finite elements (T-elements), also with openings and notches. This suggested the authors to investigate the advantages and...
This paper presents a hybrid-Trefftz finite element algorithm designated as fictitious load approach. Its originality resides in the formulation and practical application of concepts which make it possible to account for the unilateral contact conditions of a plate without modification of the finite element mesh. To reach this aim, the approach allows the movable interface between the contact and...
The paper deals with a strategy of reliable application of the Trefftz elements in the linear analysis of complex engineering structures with stress concentrators. The standard p-adaptivity is suggested in the low gradient areas. For selected large-gradient local zones certain specific T-element substructures are proposed. The h-p adaptive procedures for optimization of parameters of the substructures...
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