Application of the non-incremental approach to axisymmetric fem analysis of large strain in tensor-based matrix form

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Abstract

For the tensor-matrix FEM system of equations describing the final state of large deformations of an incompressible elastic body, a development to solve axisymmetric problems is obtained. Also, analytical expressions for the components of the partial derivatives matrix of the system are obtained. Examples of calculating the everted state of a circular cylinder, as well as analysis of sealing rings are described.

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About the authors

Vladimir V. Chekhov

V.I. Vernadsky Crimean Federal University

Author for correspondence.
Email: chekhovvv@cfuv.ru
Russian Federation, Simferopol

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2. Fig. 1. Computational model with initial approximation form and variants of the deformed state of the circular cylinder eversion problem.

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3. Fig. 2. Computational model and calculation results of an O-ring of circular cross-section.

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4. Fig. 3. Computational model and results of calculations of the lip seal ring.

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