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Combining material and element rotation in one formula. (English) Zbl 0709.73077

Summary: The paper shows a combined transformation for material and element rotation, related to the finite-element method. With this, the simplest co-ordinate systems can be chosen individually for structure/solid, element and material. A corrected criterion for a material to be orthotropic is also included.

MSC:

74S05 Finite element methods applied to problems in solid mechanics
74E30 Composite and mixture properties
74E10 Anisotropy in solid mechanics
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References:

[1] Reddy, J. Sound Vib. 66 pp 565– (1979)
[2] Pedersen, Int j. numer. methods eng. 11 pp 611– (1977)
[3] ’Triangular ring element with analytic expressions for stiffness and mass matrix’, Comput. Methods Appl. Mech. Eng., (67), 171-187 (1988). · Zbl 0633.73078
[4] Pedersen, Comput. Struct. 14 pp 255– (1981)
[5] Mechanics of Composite Materials, 2, McGraw-Hill, New York, N.Y., 1975, p. 355.
[6] Theory of Elasticity of an Anisotropic Body, Mir Publishers, Moscow, 1981, p. 430.
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