Geodesic
Simulation of the contact bend of complex form slabs
Matematičeskoe modelirovanie, Tome 18 (2006) no. 7, pp. 82-92

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Contact interaction of plates of a complicated shape resting on an elastic base of a 3D continuum type is considered. The plate's stressed-strained state is studied by the finite element method, and its contact interaction with the elastic half-space in analyzed by using boundary (contact) elements. During finite element solution of the problem of the plate's contact bending, the reaction pressure in the knots of a triangular mesh is determined by dual partitioning the contact domain into Dirichlet–Voronoi polygonal cells. The numerical examples considered illustrate the efficiency of the procedure developed for investigating the contact bending of the plates of the complicated shape. 
@article{MM_2006_18_7_a6,
     author = {S. M. Aleynikov and I. E. Agapov},
     title = {Simulation of the contact bend of complex form slabs},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {82--92},
     publisher = {mathdoc},
     volume = {18},
     number = {7},
     year = {2006},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2006_18_7_a6/}
}
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S. M. Aleynikov; I. E. Agapov. Simulation of the contact bend of complex form slabs. Matematičeskoe modelirovanie, Tome 18 (2006) no. 7, pp. 82-92. http://geodesic.mathdoc.fr/item/MM_2006_18_7_a6/