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Algorithms of the method of statically admissible discontinuous stress fields (SADSP) : [Part I]

Bodaszewski W.

Engineering Transactions

2004

Vol. 52, iss.3

175-193

As a form of introduction, the author presents in a broad outline the general concept of the SADSF method, its fundamentals, basic conditions, typical formulation of boundary problems and the essence of difficulties in problem solving. These are not only nonlinearities, singularities, and conditions expressed by complex functions (i.e. given in a form of algorithms), but first of all the structure of the condition system - that is not a priori known - which cause difficulties. As it turns out, the structure depends on boundary conditions, but the relations that express this dependence are not known. In the physical space, it refers to the problems with unknown discretization that is dependent on boundary conditions. Also, as a form of introduction, it will be shown that the investigation of mentioned dependence is possible, anyway. However, it is possible not for two-dimensional fields as a whole, but at least for their component fields around nodes. Thereby fundamental ideas of algorithms are presented in broad outline. Such algorithms are discussed in detail in Parts II and III. The application version of this method, attractive for practical purposes, is briefly described in this part. Numerical examples, also included here, illustrate the position and the possibilities of the method in solving practical problems of shape design of complex thin-wall structures.