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A governing system exhibiting symmetry is obtained in both cases by preserving duality in the descriptions of equilibrium and compatibility and reciprocity in the elastic constitutive relations. The theorems of virtual forces and displacements are interpreted as the energetic representation of static\u2013kinematic duality. The quadratic programs associated with the governing system are identified as the theorems of minimum potential energy and co\u2010energy. Mathematical programming theory is used to establish conditions for the existence and uniqueness of solutions.<\/jats:p>","DOI":"10.1002\/nme.1620280512","type":"journal-article","created":{"date-parts":[[2005,8,9]],"date-time":"2005-08-09T06:29:53Z","timestamp":1123568993000},"page":"1161-1179","source":"Crossref","is-referenced-by-count":21,"title":["Duality and symmetry in mixed integral methods of elastostatics"],"prefix":"10.1002","volume":"28","author":[{"given":"J. A. 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