Generalized theory of diffusive stresses associated with the time-fractional diffusion equation and nonlocal constitutive equations for the stress tensor. (15th September 2019)

• Record Type: Journal Article
• Authors: Povstenko, Yuriy
• Is Part Of: Computers & mathematics with applications. Volume 78:issue 6(2019)
• Page Start: 1819
• Page End: 1825
• Publication Date: 2019-09-15
• Subjects: Diffusive stresses -- Fractional calculus -- Chemical potential -- Nonlocal elasticity -- Wright function; Electronic data processing -- Periodicals; Mathematics -- Data processing -- Periodicals; 510.28541
• DOI: 10.1016/j.camwa.2016.02.034
• Languages: English
• ISSNs: 0898-1221

Abstract

Abstract: The theory of diffusive stresses based on the time-fractional diffusion equation with the Liouville–Caputo derivative is discussed. The diffusion process is characterized by the chemical potential tensor and the concentration tensor. Eliminating the chemical potential tensor and the concentration tensor from the constitutive equations for the stress tensor, the space–time-nonlocal equations for the mean stress and the deviatoric stress are obtained with the kernel being the Wright function.