Bounds of the technical constants for two-dimensional anisotropic elasticity

Author:

Vannucci Paolo1ORCID

Affiliation:

1. LMV - Laboratoire de Mathématiques de Versailles, UMR8100, Université Paris-Saclay - UVSQ, Versailles, France

Abstract

The complete set of bounds for the technical constants of an elastic layer, plate or laminate is given. The bounds are valid in general, also for completely anisotropic bodies. They are obtained transforming the polar bounds previously found. These bounds complete the knowledge of classical elasticity at least in the two-dimensional case and are useful in several situations, e.g. for determining the correct feasibility domain in design problems or as necessary conditions for accepting the results of laboratory tests on anisotropic layers.

Publisher

The Royal Society

Subject

General Physics and Astronomy,General Engineering,General Mathematics

Reference21 articles.

1. Love AEH. 1944 A treatise on the mathematical theory of elasticity. New York, NY: Dover.

2. Sokolnikoff IS. 1946 Mathematical theory of elasticity. New York, NY: McGraw-Hill.

3. Muskhelishvili NI. 1953 Some basic problems of the mathematical theory of elasticity. Gröningen, The Netherlands: P. Noordhoff Ltd.

4. Mandel J. 1966 Cours de mécanique des milieux continus. Paris, France: Gauthier-Villars.

5. Baldacci R. 1970 Scienza delle Costruzioni. Torino, Italy: UTET.

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