Effect of Heating on the Subsurface Inhomogeneity of the Electric and Mechanical Fields in Dielectrics
- 39 Downloads
The relations of the local gradient theory of dielectrics based on the analysis of the process of local displacements of masses are used for the investigation of the stress–strain state and polarization of a hollow sphere. The surfaces of the sphere are free of force loads and may have different temperatures. It is shown that the relations of this nonlocal theory enable one to estimate the effect of the temperature gradient on the subsurface inhomogeneity of the fields of stresses, polarization, and bound electric charges. These relations also describe the pyroelectric and thermopolarization effects.
KeywordsHollow Sphere Temperature Perturbation Specific Density Local Displacement Nonlocal Theory
Unable to display preview. Download preview PDF.
- 1.O. Hrytsyna, “Effect of temperature on the surface stresses and polarization of the dielectric layer,” Fiz.-Mat. Model. Inf. Tekh., Issue 14, 29–38 (2011).Google Scholar
- 2.V. L. Gurevich and A. K. Tagantsev, “Theory for the thermopolarization effect in dielectrics having a center of inversion,” Pis’ma ZhETF, 35, Issue 3, 106–108 (1982).Google Scholar
- 3.V. F. Kondrat and O. R. Hrytsyna, “Mechanoelectromagnetic interaction in isotropic dielectrics with regard for the local displacement of mass,” Mat. Metody Fiz.-Mekh. Polya, 52, No. 1, 150–158 (2009); English translation : J. Math. Sci., 168, No. 5, 688–698 (2010).Google Scholar
- 4.V. F. Kondrat and O. R. Hrytsyna, “Linear theories of the electromagnetomechanics of dielectrics,” Fiz.-Mat. Model. Inf. Tekh., Issue 9, 7–46 (2009).Google Scholar
- 5.V. F. Kondrat and O. R. Hrytsyna, “Equations of the electromagnetothermomechanics of polarized nonferromagnetic solids taking into account the local displacement of mass,” Fiz.-Mat. Model. Inf. Tekh., Issue 8, 69–83 (2008).Google Scholar
- 9.Ya. Burak, V. Kondrat, and O. Hrytsyna, “An introduction of the local displacements of mass and electric charge phenomena into the model of the mechanics of polarized electromagnetic solids,” J. Mech. Mater. Struct., 3, No. 6, 1037–1046 (2008).Google Scholar
- 10.Ye. Chapla, S. Kondrat, O. Hrytsyna, and V. Kondrat, “On electromechanical phenomena in thin dielectric films,” Task Quart., 13, No. 1–2, 145–154 (2009).Google Scholar
- 12.A. C. Eringen and B. S. Kim, “Relation between nonlocal elasticity and lattice dynamics,” Cryst. Latt. Def., 7, 51–57 (1977).Google Scholar
- 16.M. S. Majdoub, P. Sharma, and T. Çağin, “Enhanced size-dependent piezoelectricity and elasticity in nanostructures due to the flexoelectric effect,” Phys. Rev. B, 77, No. 12, 125,424 (2008).Google Scholar
- 22.J. S. Yang and X. M. Yang, “Electric field gradient effect and thin film capacitance,” World J. Eng., 2, 41–45 (2004).Google Scholar
- 23.P. Zubko, G. Catalan, A. Buckley, P. R. L. Welche, and J. F. Scott, “Strain-gradient-induced polarization in SrTiO3 single crystals,” Phys. Rev. Lett., 99, No. 16, 167601 (2007).Google Scholar