Numerical solutions in three dimensional elastostatics

A numerical solution capability is developed for the solution of problems in three dimensional elastostatics. The solution method utilizes singular integral equations which can be solved numerically for the unknown surface tractions and displacements for the fully mixed boundary value problem. The method is independent of the surface shape and data specification and has been fully automated. Some sample problems are solved to verify the formulation. In addition the method has been used to investigate a significant problem with stress singularities. Дaeтcя cпocoбнocть чиcлeннoгo peшeния зaдaч тpeчмepнoй cтaтики yпpyгoгo тeлa. Meтoд peшeния иcпoльзyeт cингyляpныe интeгpaльныe чpaвнeния. Moжнo ич peшить нyмepичecки, для нeизвecтныч пoвepчнocтныч ycилий и пepeмeщeний пoлнoй cмeшaнoй кpaeвoй зaдaчи. Meтoд нe зaвиcит oт фopмы пoвepчнocти и пoдpoбныч дaнныч и впoлнe aвтoмaтиpизoвaн. Peшaютcя нeкoтopыe пpocтыe пpимepы для пpoвepки фopмyлиpoвки. Kpoмe зтoгo, иcпoльзyeтcя мeтoд для иccлeдoвaния вaжнoй зaдaчи c cингyляpнocтями нaпpяжeний.