Thermoelastic Analysis of a Rectangular Plate with Nonhomogeneous Material Properties and Internal Heat Source

Publish Year: 1397
نوع سند: مقاله ژورنالی
زبان: English
View: 261

This Paper With 16 Page And PDF Format Ready To Download

  • Certificate
  • من نویسنده این مقاله هستم

استخراج به نرم افزارهای پژوهشی:

لینک ثابت به این Paper:

شناسه ملی سند علمی:

JR_JSMA-10-1_015

تاریخ نمایه سازی: 12 اسفند 1398

Abstract:

This article deals with the determination of temperature distribution, displacement and thermal stresses of a rectangular plate having nonhomogeneous material properties with internal heat generation. The plate is subjected to sectional heating. All the material properties except Poisson’s ratio and density are assumed to be given by a simple power law along x direction. Solution of the two-dimensional heat conduction equation is obtained in the transient state. Integral transform method is used to solve the system of fundamental equation of heat conduction. The effects of inhomogeneity on temperature and thermal stress distributions are examined. For theoretical treatment, all the physical and mechanical quantities are taken as dimensional, whereas for numerical computations we have considered non-dimensional parameters. The transient state temperature field and its associated thermal stresses are discussed for a mixture of copper and zinc metals in the ratio 70:30 respectively. Numerical calculations are carried out for both homogeneous and nonhomogeneous cases and are represented graphically.

Authors

V. R Manthena

Department of Mathematics, RTM Nagpur University, Nagpur, India

N.K Lamba

Department of Mathematics, Shri Lemdeo Patil Mahavidyalaya, Nagpur, India

G.D Kedar

Department of Mathematics, RTM Nagpur University, Nagpur, India

مراجع و منابع این Paper:

لیست زیر مراجع و منابع استفاده شده در این Paper را نمایش می دهد. این مراجع به صورت کاملا ماشینی و بر اساس هوش مصنوعی استخراج شده اند و لذا ممکن است دارای اشکالاتی باشند که به مرور زمان دقت استخراج این محتوا افزایش می یابد. مراجعی که مقالات مربوط به آنها در سیویلیکا نمایه شده و پیدا شده اند، به خود Paper لینک شده اند :
  • Al-Hajri M., Kalla S.L., 2004, On an integral transform involving ...
  • Birkoff G., Rota G. C., 1989, Ordinary Differential Equations, Wiley, ...
  • Churchill R.V., 1972, Operational Mathematics, Mc-Graw Hill. ...
  • Ding S.H., Li X., 2015, Thermoelastic analysis of nonhomogeneous structural ...
  • Edited by the Japan Society of Mechanical Engineers, 1980, Elastic ...
  • Gupta A.K., Singhal P., 2010, Thermal effect on free vibration ...
  • Gupta A.K., Saini M., Singh S., Kumar R., 2014, Forced ...
  • Hata T., 1983, Thermal stresses in a nonhomogeneous thick plate ...
  • Kassir M.K., 1972, Boussinesq problems for nonhomogeneous solid, Proceedings of ...
  • Kawamura R., Huang D., Tanigawa Y., 2001, Thermoelastic deformation and ...
  • Kumar Y., 2012, Free vibrations of simply supported nonhomogeneous isotropic ...
  • Lal R., Kumar Y., 2013, Transverse vibrations of nonhomogeneous rectangular ...
  • Manthena V.R., Lamba N.K., Kedar G.D., 2016, Transient thermoelastic problem ...
  • Martynyak R.M., Dmytriv M.I., 2010, Finite-element investigation of the stress-strain ...
  • Morishita H., Tanigawa Y., 1998, Formulation of three dimensional elastic ...
  • Muravskii G.B., 2008, Response of an elastic half-space with power-law ...
  • Pandita B.B., Kulkarni V.S., 2015, Finite difference approach for nonhomogeneous ...
  • Sharma S., Gupta U.S., Singhal P., 2012, Vibration analysis of ...
  • Sugano Y., 1987, Transient thermal stresses in a nonhomogeneous doubly ...
  • Tanigawa Y., Ootao Y., Kawamura R., 1991, Thermal bending of ...
  • Tanigawa Y., 1995, Some basic thermoelastic problems for nonhomogeneous structural ...
  • Tanigawa Y., Kawamura R., Ishida S., 2002, Derivation of fundamental ...
  • Tokovyy Y., Ma C-C., 2009, Analytical solutions to the 2D ...
  • Wang C.Y., Wang C.M., 2011, Exact solutions for vibrating nonhomogeneous ...
  • Yang Q., Zheng B., Zhang K., Zhu J., 2013, Analytical ...
  • نمایش کامل مراجع