articleTop 10% cited
Elastic Constants of Polycrystals
physica status solidi (b) · 1973 · Vol. 55(2) · pp. 831–842
R. Zeller✉(Forschungszentrum Jülich)P. H. Dederichs(Forschungszentrum Jülich)
Abstract
Abstract The elastic constants of polycrystals and similar disordered materials are calculated. Exact formal solutions for the effective tensors of the elastic constants and of the compliances are given. Analytical approximations are derived by an expansion in powers of the anisotropy. Using the t ‐matrixmethod of scattering theory better approximations are obtained for highly anisotropic materials. Especially two new approximations are given, representing upper and lower bounds for the effective constants.
Composite Material MechanicsNumerical methods in engineeringUltrasonics and Acoustic Wave PropagationAnisotropyConstant (computer programming)Mathematical analysisMaterials scienceMathematicsPhysicsQuantum mechanicsComputer science
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References
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The European Physical Journal A · 1958 · 1,597 citations
The determination of the elastic field of an ellipsoidal inclusion, and related problems
Proceedings of the Royal Society of London A Mathematical and Physical Sciences · 1957 · 12,766 citations
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