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Symbolic Calculations in Non-Linear Continuum Mechanics
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| Organization: | Murmansk State Technical University |
| Department: | Continuum Mechanics&Offshore Exploration Department |
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1999 International Mathematica Symposium
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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].
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continuum mechanics, tensor calculation, non-linear theory of elasticity
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http://www.internationalmathematicasymposium.org/IMS99/ims99papers/ims99papers.html
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