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LUO Jian-hui, LIU Guang-dong, LONG Yu-qiu. A NEW METHOD FOR ESTABLISHING PARTITIONED VARIATIONAL PRINCIPLES[J]. Engineering Mechanics, 2002, 19(5): 29-35.
Citation: LUO Jian-hui, LIU Guang-dong, LONG Yu-qiu. A NEW METHOD FOR ESTABLISHING PARTITIONED VARIATIONAL PRINCIPLES[J]. Engineering Mechanics, 2002, 19(5): 29-35.
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A NEW METHOD FOR ESTABLISHING PARTITIONED VARIATIONAL PRINCIPLES

  • Institute of Civil Engineering, Hunan University, Changsha P R China 410082;2. Department of Civil Engineering, Tsinghua University 100084

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  • Received Date: January 31, 2002
  • Revised Date: April 27, 2002
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  • A new method for establishing partitioned variational principles for theory of elasticity is presented. The continuous conditions of displacement and stress on a common boundary between zonings are given up. The equivalence between the differential form and the integral form of the partitioned systematic methodology for theory of elasticity is proved. In a uniform framework partitioned equations of generalized virtual work and partitioned variational principles for theory of elasticity are proved based on differential form by the equivalence. A variational principle is a form to be represented of integral form. Physical interpretation of integral form is discussed. Concepts about generalized virtual functions are proposed. Generalized virtual functions have arbitrary property, virtual property.
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