نتایج جستجو برای: laplace transform domain

تعداد نتایج: 516680  

N Das Gupta, N.C Das

The titled problem of coupled thermoelasticity for porous structure has been solved with an instantaneous heat source acting on a plane area in an unbounded medium. The basic equations of thermoelasticity, after being converted into a one-dimensional form, have been written in the form of a vector-matrix differential equation and solved by the eigenvalue approach for the field variables in the ...

Journal: :international journal of civil engineering 0
i. ashayeri civil engineering department, school of engineering, razi university, taghebostan, daneshgah blvd., kermanshah, iran, p.o.box: 67149-67346 m. kamalian geotechnical research center, international institute of earthquake engineering & seismology (iiees), no. 26 arghavan st., north dibaji st. tehran, iran, p.o.box: 19537-14453 m. k jafari geotechnical research center, international institute of earthquake engineering & seismology (iiees), no. 26 arghavan st., north dibaji st. tehran, iran, p.o.box: 19537-14453 m. biglari civil engineering department, school of engineering, razi university, taghebostan, daneshgah blvd., kermanshah, iran, p.o.box: 67149-67346 ma. mirmohammad sadeghi isfahan higher education and research institute (iheari), p.o. box: 18314-416 isfahan, iran

this paper presents time domain fundamental solutions for the extended biot's dynamic formulations of two-dimensional (2d) unsaturated poroelasticity. unsaturated porous media is considered as a porous media in which the voids are saturated with two immiscible fluids, i.e. liquid and gas. at first, the corresponding explicit laplace transform domain fundamental solution is obtained in term...

Fundamental solutions of dynamic poroelasticity and generalized thermoelasticity are derived in the Laplace transform domain. For poroelasticity, these solutions define the solid displacement field and the fluid pressure in fluid-saturated media due to a point force in the solid and an injection of fluid in the pores. In addition, approximate fundamental solutions for short times are derived by...

G.D Kedar J.J Tripathi, K.C Deshmukh

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...

2012
A. S. Gudadhe P. R. Deshmukh

Linear canonical transform is an integral transform with four parameters and has been proved to be powerful tool for optics, radar system analysis, filter design etc. Fractional Fourier transform and Fresnel transform can be seen as a special case of linear canonical transform with real parameters. Further generalization of linear canonical transform with complex parameters is also developed an...

Journal: :journal of oil, gas and petrochemical technology 0
kambiz razminia department of petroleum engineering, petroleum university of technology, ahwaz, iran abolhassan razminia dynamical systems & control (dsc) research lab., electrical engineering department, school of engineering, persian gulf university, p. o. box 75169, bushehr, iran zohrab dastkhan national iranian oil co., ahwaz, iran

this paper presents analytical solutions and simulations for pressure transient behavior of the partially penetrating wells (ppws). the newman’s product method was adopted to develop the basic instantaneous source functions which characterize the response of ppws. these results were obtained based on the solution of fully penetrating wells (fpws) and they were presented in laplace domain. furth...

2010
Kathrin Spendier

The main idea behind the Laplace transformation is that we can solve an equation (or system of equations) containing differential and integral terms by transforming the equation in time (t) domain into Laplace (2) domain. For example, we can use Laplace transforms to turn an initial value problem into an algebraic problem which is easier to solve. After we solved the problem in Laplace domain w...

A Sur, M Kanoria

In this work, a new mathematical model of thermoelasticity theory has been considered in the context of a new consideration of heat conduction with fractional order theory. A functionally graded isotropic unbounded medium is considered subjected to a periodically varying heat source in the context of space-time non-local generalization of three-phase-lag thermoelastic model and Green-Naghdi mod...

In this study, the second type of Green and Naghdi's thermoelasticity theory is applied to present the vibration of a nanobeam subjected to rectified sine wave heating based upon the nonlocal thermoelasticity theory. Both Young's modulus and thermal conductivity are considered to be linear functions of the temperature. The Laplace transform domain is adopted to solve the governing partial diffe...

Journal: :bulletin of the iranian mathematical society 2011
a. kilicman k. a. m. atan h. eltayeb

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