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Standard Deformations of Nonlinear Elastic Structural Elements with Power-Law Constitutive Model

Author

Listed:
  • Sorin Vlase

    (Department of Mechanical Engineering, Transilvania University of Brasov, 500036 Brasov, Romania
    Technical Sciences Academy of Romania, B-dul Dacia 140, 010357 Bucharest, Romania)

  • Marin Marin

    (Department of Mathematics and Computer Science, Transilvania University of Brasov, 500036 Brasov, Romania
    Academy of Romanian Scientists, Ilfov Street, 3, 050045 Bucharest, Romania)

Abstract

In this paper, the case of the power dependence between strain and stress is studied, along with the way in which this dependence modifies the calculation methodologies and the results that are obtained in classic cases of stress. The main cases studied are compression (squashing), tension (pulling), bending, shear (cutting), and torsion (twisting). Simple relationships are thus obtained for a wide class of materials that fall into this category. They can be useful to designers because they provide information on mechanical structures in a short time with good precision.

Suggested Citation

  • Sorin Vlase & Marin Marin, 2024. "Standard Deformations of Nonlinear Elastic Structural Elements with Power-Law Constitutive Model," Mathematics, MDPI, vol. 12(24), pages 1-21, December.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:24:p:3992-:d:1547310
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