A theory of thermoelastic materials with voids

Ieşan, D.

doi:10.1007/bf01302942

Cited by 389 publications

(184 citation statements)

References 8 publications

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“…We seek solutions of the system of linear balance Eqs. (38), (39), (46), (47) and (41) in the form of traveling harmonic waves (see, also, [32]):…”

Section: Dispersion Relations For Plane Wavesmentioning

confidence: 99%

Linear Wave Motions in Continua with Nano-Pores

Giovine¹

2012

Wave Processes in Classical and New Solids

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“…We seek solutions of the system of linear balance Eqs. (38), (39), (46), (47) and (41) in the form of traveling harmonic waves (see, also, [32]):…”

Section: Dispersion Relations For Plane Wavesmentioning

confidence: 99%

Linear Wave Motions in Continua with Nano-Pores

Giovine¹

2012

Wave Processes in Classical and New Solids

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“…Following the theory presented in [Iesan 1986], the basic equations for thermoelastic materials with voids are given tensorially as follows:…”

Section: Basic Equations Of Thermoelastic Beams With Voidsmentioning

confidence: 99%

“…Their theory is concerned with elastic materials consisting of a distribution of small voids, in which the void volume is included among the kinematic variables, and the theory reduces to the classical theory of elasticity in the limit case of the volume tending to zero. Iesan [1986] developed a linear theory of thermoelastic materials with voids. Puri and Cowin [1985] studied the behavior of plane waves in linear elastic materials with voids.…”

Section: Introductionmentioning

confidence: 99%

A nonlinear model of thermoelastic beams with voids, with applications

Chang-jun

2010

J. Mech. Mater. Struct.

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We generalize the traditional Hamilton principle and give a complete nonlinear mathematical model of thermoelastic beams with voids based on this generalization, including the influences of the axial force, neutral layer inertia and rotation inertia. The differential quadrature method is used to discrete the nonlinear system on the spatial domain, and the Newton-Raphson method and Runge-Kutta method are adopted to solve the static and dynamical behaviors of the beam, respectively. The influences of the parameters on the nonlinear mechanical behavior of beam are studied in detail. The results show that the presence of voids enlarges beam deflection. And also one can see that the DQM has advantages of fewer workload, higher precision, better convergence, and so on.

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“…Uniqueness and reciprocity theorems for generalized thermoviscoelasticity with two relaxation times were given by Ezzat and El-Karamany (2002). Uniqueness, reciprocity theorems and variational principle in the theory of thermoelastic materials with voids were established by Iesan (1986). Uniqueness and reciprocity theorems for the equations of generalized thermoleastic diffusion problem, in isotropic media, were proved by Sherief et al (2004) on the basis of variational principle equation.…”

Section: Introductionmentioning

confidence: 99%

Uniqueness, reciprocity theorems and plane wave propagation in different theories of thermoelasticy

Kumar¹,

Gupta²

2013

International Journal of Applied Mechanics and Engineering

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In this work, a compact form of different theories of thermoelasticity is considered. The governing equations for particle motion in a homogeneous isotropic thermoelastic medium are presented. Uniqueness and reciprocity theorems are proved. The plane wave propagation in a homogeneous isotropic thermoelastic medium is studied. For a three dimensional problem there exist four waves, namely a P-wave, two transverse waves (S 1 , S 2 ) and a thermal wave (T). From the obtained results the different characteristics of waves such as the phase velocity and attenuation coefficient are computed numerically and presented graphically. Some special cases are also discussed.

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A theory of thermoelastic materials with voids

Cited by 389 publications

References 8 publications

Linear Wave Motions in Continua with Nano-Pores

Linear Wave Motions in Continua with Nano-Pores

A nonlinear model of thermoelastic beams with voids, with applications

Uniqueness, reciprocity theorems and plane wave propagation in different theories of thermoelasticy

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