Matrix inversions and singular solutions in the linear theories of elasticity |
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Authors: | K. L. Chowdhury P. G. Glockner |
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Affiliation: | (1) Department of Civil Engineering, The University of Calgary, Calgary, Alberta, Canada |
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Abstract: | Elementary matrix multiplications and inversions lead to Galerkin type representations for the steady-state vibration equations of linear classical elasticity, thermoclasticity, Mindlin's couple stress and Eringen's micropolar theories of elasticity. The use of representations and the equations satisfied by potentials is further illustrated by obtaining singular solutions. Some of the results agree with known solutions. |
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