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

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.

Keywords

• nonlinear material
• power law
• stress
• traction/compression
• bending
• shear