axisymmetric problem of thick circular plate with heat sources in modified couple stress theory
نویسندگان
چکیده
the main aim is to study the two dimensional axisymmetric problem of thick circular plate in modified couple stress theory with heat and mass diffusive sources. the thermoelastic theories with mass diffusion developed by sherief et al. [1] and kumar and kansal [2] have been used to investigate the problem. laplace and hankel transforms technique is applied to obtain the solutions of the governing equations. the displacements, stress components, temperature change and chemical potential are obtained in the transformed domain. numerical inversion technique has been used to obtain the solutions in the physical domain. effects of couple stress on the resulting quantities are shown graphically. some particular cases of interest are also deduced.
منابع مشابه
Axisymmetric Problem of Thick Circular Plate with Heat Sources in Modified Couple Stress Theory
The main aim is to study the two dimensional axisymmetric problem of thick circular plate in modified couple stress theory with heat and mass diffusive sources. The thermoelastic theories with mass diffusion developed by Sherief et al. [1] and kumar and Kansal [2] have been used to investigate the problem. Laplace and Hankel transforms technique is applied to obtain the solutions of the governi...
متن کاملGeneralized Thermoelastic Problem of a Thick Circular Plate Subjected to Axisymmetric Heat Supply
The present work is aimed at analyzing the thermoelastic disturbances in a circular plate of finite thickness and infinite extent subjected to constant initial temperature and axisymmetric heat supply. Integral transform technique is used. Analytic solutions for temperature, displacement and stresses are derived within the context of unified system of equations in generalized thermoelasticity i...
متن کاملGeneralized Thermoelastic Problem of a Thick Circular Plate with Axisymmetric Heat Supply Due to Internal Heat Generation
A two dimensional generalized thermoelastic problem of a thick circular plate of finite thickness and infinite extent subjected to continuous axisymmetric heat supply and an internal heat generation is studied within the context of generalized thermoelasticity. Unified system of equations for classical coupled thermoelasticity, Lord-Shulman and Green-Lindsay theory is considered. An exact solut...
متن کاملA Problem of Axisymmetric Vibration of Nonlocal Microstretch Thermoelastic Circular Plate with Thermomechanical Sources
In the present manuscript, we investigated a two dimensional axisymmetric problem of nonlocal microstretch thermoelastic circular plate subjected to thermomechanical sources. An eigenvalue approach is proposed to analyze the problem. Laplace and Hankel transforms are used to obtain the transformed solutions for the displacements, microrotation, microstretch, temperature distribution and stresse...
متن کاملgeneralized thermoelastic problem of a thick circular plate with axisymmetric heat supply due to internal heat generation
a two dimensional generalized thermoelastic problem of a thick circular plate of finite thickness and infinite extent subjected to continuous axisymmetric heat supply and an internal heat generation is studied within the context of generalized thermoelasticity. unified system of equations for classical coupled thermoelasticity, lord-shulman and green-lindsay theory is considered. an exact solut...
متن کاملThermoelastic Damping and Frequency Shift in Kirchhoff Plate Resonators Based on Modified Couple Stress Theory With Dual-Phase-Lag Model
The present investigation deals with study of thermoelastic damping and frequency shift of Kirchhoff plate resonators by using generalized thermoelasticity theory of dual-phase-lag model. The basic equations of motion and heat conduction equation are written with the help of Kirchhoff-Love plate theory and dual phase lag model. The analytical expressions for thermoelastic damping and frequency ...
متن کاملمنابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
journal of solid mechanicsجلد ۹، شماره ۱، صفحات ۱۵۷-۱۷۱
میزبانی شده توسط پلتفرم ابری doprax.com
copyright © 2015-2023