Dynamic response of an infinite medium with a spherical cavity on temperature-dependent properties subjected to a thermal shock under fractional-order theory of thermoelasticity

2017 ◽  
Vol 41 (3) ◽  
pp. 302-312 ◽  
Author(s):  
Yong-bin Ma ◽  
Wei Peng
Keyword(s):  
Dynamic Response ◽  
Thermal Shock ◽  
Fractional Order ◽  
Spherical Cavity ◽  
Order Theory ◽  
Infinite Medium ◽  
Temperature Dependent ◽  
Temperature Dependent Properties

Transient Thermoelastic Problem for an Infinite Medium With a Spherical Cavity Exhibiting Temperature-Dependent Properties

1962 ◽  
Vol 29 (2) ◽  
pp. 399-407 ◽  
Author(s):  
Jerzy Nowinski
Keyword(s):  
Thermal Expansion ◽  
Shear Modulus ◽  
Perturbation Method ◽  
Temperature Rise ◽  
Spherical Cavity ◽  
Infinite Medium ◽  
Thermoelastic Problem ◽  
Linear Variation ◽  
Temperature Dependent ◽  
Temperature Dependent Properties

This paper is concerned with a polarly symmetric transient thermoelastic problem for an infinite medium with a spherical cavity, the boundary of the cavity being subjected to a sudden temperature rise. Thermal and elastic properties of the medium are assumed to be temperature dependent. Using the perturbation method general equations for the displacements and stresses corresponding to particular boundary-value problems have been found. An illustrative example, involving linear variation of conductivity and thermal expansion as well as quadratic variation of shear modulus with temperature, has been discussed in detail.

A Fractional-Order Generalized Thermoelastic Problem of a Bilayer Piezoelectric Plate for Vibration Control

2017 ◽  
Vol 139 (8) ◽  
Author(s):  
Yeshou Xu ◽  
Zhao-Dong Xu ◽  
Tianhu He ◽  
Jinxiang Chen ◽  
Chao Xu
Keyword(s):  
Contact Resistance ◽  
Vibration Control ◽  
Fractional Order ◽  
Thermal Contact Resistance ◽  
Thermal Contact ◽  
Elastic Behavior ◽  
Temperature Dependent ◽  
Riemann Sum ◽  
Thermoelastic Plate ◽  
Temperature Dependent Properties

Multilayered piezoelectric structures have special applications for vibration control, and they often serve in a thermoelastic coupling environment. In this work, the fractional-order generalized thermoelasticity theory is used to investigate the dynamic thermal and elastic behavior of a bilayer piezoelectric–thermoelastic plate with temperature-dependent properties. The thermal contact resistance is implemented to describe the interfacial thermal wave propagation. The governing equations for the bilayer piezoelectric–thermoelastic plate with temperature-dependent properties are formulated and then solved by means of Laplace transformation and Riemann-sum approximation. The distributions of the nondimensional temperature, displacement, and stress are obtained and illustrated graphically. According to the numerical results, the effects of the thermal contact resistance, the ratio of the material properties between different layers, the temperature-dependent properties, and the fractional-order parameters on the distributions of the considered quantities are revealed in different cases and some remarkable conclusions are obtained. The investigation helps gain insights into the optimal design of actuators, sensors, which are made of piezoelectric materials.

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