Porosity and phase lags response of thick circular plate in modified couple stress thermoelastic medium. Issue 12 (16th July 2021)

• Record Type: Journal Article
• Authors: Kumar, Rajneesh; Kaushal, Sachin; Dahiya, Vikram
• Is Part Of: Zeitschrift für angewandte Mathematik und Mechanik. Volume 101:Issue 12(2021)
• Page Start: n/a
• Page End: n/a
• Publication Date: 2021-07-16
• Subjects: modified couple stress thermoelasticity -- phase lags -- porosity; Mathematics -- Periodicals; Mechanics, Applied -- Periodicals; Engineering -- Periodicals; 519
• DOI: 10.1002/zamm.202100098
• Languages: English
• ISSNs: 0044-2267

Abstract

Abstract: The problem of thick circular plate in modified couple stress thermoelastic with voids (MCTV) is examined to study response of porosity, phase lags, one relaxation time and couple stress parameter. Governing equations are formulated for the new model and are solved by using Laplace and Hankel transform techniques. Normal load, thermal source and source over volume fraction field of voids (SVFV) of specific types are taken to solve the problem analytically. Numerical results are calculated for displacements, stresses, temperature change and volume fraction field. The comparisons are established to depict the effects of voids, phase lags, one relaxation time and couple stress parameter in form of graphs. Some particular cases are also deduced. Abstract : The problem of thick circular plate in modified couple stress thermoelastic with voids (MCTV) is examined to study response of porosity, phase lags, one relaxation time and couple stress parameter. Governing equations are formulated for the new model and are solved by using Laplace and Hankel transform techniques. Normal load, thermal source and source over volume fraction field of voids (SVFV) of specific types are taken to solve the problem analytically. Numerical results are calculated for displacements, stresses, temperature change and volume fraction field.…