Determining equation of electric or magnetic deformation in isotropic materials
- 23 Downloads
For isotropic materials, we construct and analyze the general expression and differential characteristics of the measure of “large” free [internal (inherent)] distortion depending on a single scalar parameter of state (e.g., thermal) and a single vector parameter (e.g., electric or magnetic). In particular, it is shown that if the initial value of the vector parameter is equal to zero, this distortion is equal to the deformation independent of the sign of the corresponding final value.
KeywordsGeneral Expression Structural Material Scalar Parameter Vector Parameter Isotropic Material
Unable to display preview. Download preview PDF.
- 1.I. B. Prokopovych, “Potentials and equations of state for two special reference configurations,” Fiz.-Khim. Mekh. Mater., 39, No. 2, 25–32 (2003).Google Scholar
- 2.I. B. Prokopovych, “Mathematical description of perturbations of the stress-strain state,” Fiz.-Khim. Mekh. Mater., 40, No. 1, 16–20 (2004).Google Scholar
- 3.I. B. Prokopovych, “General expressions for the description of the influence of stresses on the dielectric permittivity or magnetic permeability,” Fiz.-Khim. Mekh. Mater., 41, No. 4, 77–85 (2005).Google Scholar
- 4.B. S. Kasatkin, A. B. Kudrin, L. M. Lobanov, et al., Experimental Methods for the Investigation of Strains and Stresses [in Russian], Naukova Dumka, Kiev (1981).Google Scholar
- 5.G. A. Maugin, Continuum Mechanics of Electromagnetic Solids [Russian translation], Mir, Moscow (1991).Google Scholar
- 6.A. I. Lur’e, Nonlinear Theory of Elasticity [in Russian], Nauka, Moscow (1980).Google Scholar
- 7.I. B. Prokopovych, “General properties of the nonlinear equations of stress-free deformation,” Mat. Met. Fiz.-Mekh. Polya, 47, No. 3, 87–94 (2004).Google Scholar