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• W137739905 abstract "In many phases of engineering, the solution of stress and strain distributions in elastic continua is required. Special cases of such problems may range from two-dimensional plane stress or strain distributions, axisymmetric solids, plate bending, and shells, to fully three-dimensional solids. In all cases, the number of interconnections between any finite element isolated by some imaginary boundaries and the neighboring elements is continuous, and therefore, infinite. At first glance, it is difficult to see how such problems may be discretized. It is not always easy to ensure that the chosen displacement functions will satisfy the requirement of displacement continuity between adjacent elements. Thus, the compatibility condition on such lines may be violated. By concentrating the equivalent forces at the nodes, equilibrium conditions are satisfied only in the overall sense. This chapter focuses on an approach known as the displacement formulation. The use of the principle of virtual work is extremely convenient and powerful. General procedures are now available for a finite element discretization of any problem defined by a properly constituted set of differential equations." @default.
• W137739905 created "2016-06-24" @default.
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• W137739905 date "2005-01-01" @default.
• W137739905 modified "2023-10-16" @default.
• W137739905 title "A direct physical approach to problems in elasticity" @default.
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• W137739905 doi "https://doi.org/10.1016/b978-075066431-8.50170-3" @default.
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