On fractional order generalized thermoelasticity with micromodeling

DOI10.1007/s00707-013-0913-3zbMath1401.74081OpenAlexW1992308385MaRDI QIDQ382716

Tian Jian Lu, Xiao-geng Tian, Ya Jun Yu

Publication date: 21 November 2013

Published in: Acta Mechanica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00707-013-0913-3

Mathematics Subject Classification ID

Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Thermal effects in solid mechanics (74F05) Fractional derivatives and integrals (26A33)

Related Items

A novel generalized thermoelasticity model based on memory-dependent derivative, A discontinuity analysis of generalized thermoelasticity theory with memory-dependent derivatives, One-dimensional problem for infinitely long annular cylinder in the context of fractional order theory of thermoelasticity, Unnamed Item, Thermal shock fracture of an elastic half-space with a subsurface penny-shaped crack via fractional thermoelasticity, Nonlinear finite-speed thermoelasticity with physically possible fractional orders for wave propagation, reflection, and mixing analyses in annular discs with initial rotational pre-deformations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Fractional order generalized thermoelastic half-space subjected to ramp-type heating
• Some results in micromorphic piezoelectricity
• Generalized thermo-microstretch elastic medium with temperature-dependent properties for different theories
• On the micromorphic thermoelasticity
• Constitutive relations of micromorphic thermoplasticity
• Electromagnetic theory of microstretch elasticity and bone modeling
• Reciprocal and variational principles in micropolar thermoelasticity of type II
• Variational principle of fractional order generalized thermoelasticity
• Elastic materials with couple-stresses
• Thermoelasticity
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Thermoelasticity without energy dissipation
• On the equilibrium theory of microstretch elastic solids
• On Mittag-Leffler-type functions in fractional evolution processes
• Micromorphic elastic solids with initial stresses and initial heat flux
• Generalized micromorphic solids and fluids
• Generalized variational principles for thermopiezoelectricity
• Some results on thermoelasticity for porous piezoelectric materials
• A generalized theory of linear micropolar thermoelasticity
• Two-dimensional thermal shock problem of fractional order generalized thermoelasticity
• The effect of rotation on generalized micropolar thermoelasticity for a half-space under five theories
• Nonlinear theory of simple micro-elastic solids. I
• A generalized dynamical theory of thermoelasticity
• Theory of micromorphic materials with memory
• Micro-structure in linear elasticity
• Theory of thermo-microstretch elastic solids
• Nonlocal Continuum Field Theories
• A re-examination of the basic postulates of thermomechanics
• Theory of two-temperature-generalized thermoelasticity
• Variational principles in micromorphic thermoelasticity.