Paper Titles

Vibration Behavior Analysis of Wire Rope Isolators Under Traction and Compression Load
p.357

Effect of Processing Techniques Used for Improvement of Mechanical Properties of Glass Fiber Epoxy Nano Composites
p.363

Study Concerning the Maximal Depth of a Rectangular Part Made from Tailor Welded Blanks
p.369

Considerations on Steel Behavior at Oligocyclic Fatigue
p.375

Dynamic Response for a Functionally Graded Rectangular Plate Subjected to Thermal Shock Based on LS Theory
p.381

About the Mechanical Characteristics Determination for Desmopan Membrane by Digital Image Correlation Method
p.396

Probe-Radius Compensation of the Bevel Gears Tooth Surface Using 3D Measured Points
p.405

Mathematical Model for the Calculation of Linear Speed for a Water Jet Cutting Machine
p.411

Modeling and Simulation of Closed-Loop Counterbalancing Hydraulic Units for Heavy-Duty Machine-Tools
p.417

HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vol. 332Dynamic Response for a Functionally Graded...

Dynamic Response for a Functionally Graded Rectangular Plate Subjected to Thermal Shock Based on LS Theory

Article Preview

Abstract:

Thermal shock describes the way that a material exposed to a sudden change in temperature. These conditions usually take place in aerospace industry, when aircraft encounter the atmosphere layers. It also happens in combustion chamber of engines when mixture of fuel and air ignite in cylinder. Classical thermoelasticity is not capable to analyze such a problem. Therefore, generalized coupled thermoelasticity theories arose. In this article, the dynamic coupled thermoelastic response of a rectangular plate made of functionally graded material subjected to a thermal shock based on Lord-Shulman theory is studied. Using state space approach, the state equations of the problem are obtained. The plate’s boundary condition is simply support on the edges and the variation of mechanical properties is assumed to change along the thickness of the plate. The Laplace transform is applied to transform governing equations from time domain to the Laplace domain. Then by using a numerical method, the equations are solved and the results are inversed to the time domain displacement and temperature field are acquired. Results are presented for different power law indices and they are validated by previous reported literature.

You might also be interested in these eBooks

OPTIROB 2013

Info:

Periodical:

Applied Mechanics and Materials (Volume 332)

Pages:

381-395

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.332.381

Citation:

Cite this paper

Online since:

July 2013

Authors:

Seyed Mohsen Nowruzpour Mehrian, Mohammad Hasan Naei, Shahla Zamani Mehrian

Keywords:

Couple Thermoelasticity, Lord-Shulman, Plate, Thermal Sock

Export:

RIS, BibTeX

Price:

Permissions:

Request Permissions

[1] Duhamel, J.M.C., Second Memoire Sur Les Phenomes Thermomechaniques, J. Ecole Polytech, Vol. 15, pp.1-57, 1837.

[2] Biot, M.A., Thermoelasticity and Irreversibility Thermodynamics, J. Appl. Phys., Vol. 27, pp.240-253, 1956.

[3] Maxwell, J.C., On the Dynamical Theory of Gases, Phil. Trans. Roy. Soc. London, Vol. 157, pp.49-88, 1867.

[4] Peshkov, V., Second Sound in Helium II, J. Physics, Vol. 8, pp.131-138, 1944.

[5] Tisza, L., The Theory of Liquid Helium, Phys. Rev., Vol. 72, pp.838-839, 1947.

[6] Chester, M., Second Sound in Solids, Physical Review, Vol. 131, pp.2013-2015, 1963.

[7] Lord, H.W., and Shulman, Y., A Generalized Dynamical Theory of Thermoelasticity, J. Mech. Phys. Solids, Vol. 15, pp.299-309, 1967.

[8] Green, A.E., and Lindsay, K.A., Thermoelasticity, J. Elasticity, Vol. 2, No. 1, pp.1-7, Mar. 1972.

[9] Green, A.E., and Naghdi, P.M., A Re-examination of the Basic Postulates of Thermomechanics, Proc. Roy. Soc. London Ser. A., Vol. 432, pp.171-194, 1991.

DOI: 10.1098/rspa.1991.0012

[10] Green, A.E., and Naghdi, P.M., Thermoelasticity without Energy Dissipation, J. Elasticity, Vol. 31, pp.189-208, 1993.

DOI: 10.1007/bf00044969

[11] Ignaczak, J., Linear Dynamic Thermoelasticity, A Survey, Shock Vib. Dig., Vol. 13, pp.3-8, 1981.

[12] Ignaczak, J., Domain of Influence Results in Generalized Thermoelasticity, A Survey, App. Mech. Rev., Vol. 44, No. 9, pp.375-382 , 1991.

DOI: 10.1115/1.3119510

[13] Bagri A, Eslami MR. Generalized coupled thermoelasticity of disks based on the Lord–Shulman model. J Therm Stresses2004;27(8):691–704.

DOI: 10.1080/01495730490440127

[14] Chen H, Lin H. Study of transient coupled thermoelastic problemswith relaxation times. Trans ASME 1995;62:208–15.

[15] Tanigawa Y. Some basic thermoelastic problems for nonhomogene-ous structural materials. Appl Mech Rev 1995;48(6):287–300.

[16] Tanigawa Y. Theoretical approach of optimum design for a plate offunctionally gradient materials under thermal loading, thermal shockand fatigue behavior of advanced ceramics. NATO ASI Ser E1992;241:171–80.

DOI: 10.1007/978-94-015-8200-1_14

[17] Obata Y, Noda N. Steady thermal stresses in a hollow circularcylinder and a hollow sphere of functionally gradient material. JTherm Stresses 1994;17:471–88.

DOI: 10.1080/01495739408946273

[18] Praveen GN, Reddy JN. Nonlinear transient thermoelastic analysis offunctionally graded ceramic–metal plates. J Solid Struct 1998;35:4457–76.

DOI: 10.1016/s0020-7683(97)00253-9