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Symbolic Calculations in Non-Linear Continuum Mechanics

Alexander N. Papusha
Organization: Murmansk State Technical University
Department: Continuum Mechanics&Offshore Exploration Department

1999 International Mathematica Symposium

A new symbolic technique in Continuum Mechanics is presented by using tensor calculation features of Mathematica.

We describe deriving of deformation equations and static equations of stresses in the non-linear theory of elasticity of an elastic body. The equations are expressed in any orthonormal basis of a curved line. In our notebook we develop the non-linear equations of balance. Our approach differs from the well known and widely used methods described earlier in the famous TextBooks on the theory of elasticity [1,2].

*Science > Physics > Fluid Mechanics
*Science > Physics > Solid State Physics

continuum mechanics, tensor calculation, non-linear theory of elasticity