Mathematical Theory of Elastic Structures

Thebookcoversthreemaintopics:theclassicaltheoryoflinearelasticity,themathematicaltheoryofcompositeelasticstructures,asanapplicationofthetheoryofellipticequationsoncompositemanifoldsdevelopedby.thefirstauthor,andthefiniteelementmethodforsolvingelasticstructuralproblems.Theauthorstreatthesetopicswithintheframeworkofaunifiedtheory.Thebookcarriesonatheoreticaldiscussiononthemathematicalbasisoftheprincipleofminimumpotentialtheory.Theemphasisisontheaccuracyandcompletenessofthemathematicalformulationofelasticstructuralproblems.Thebookwillbeusefultoappliedmathematicians,engineersandgraduatestudents.Itmayalsoserveasacourseinelasticityforundergraduatestudentsinappliedsciences.