The linear theory of micropolar thermoelasticity

Tauchert, Theodore R.; Claus, William D.; Ariman, T.

doi:10.1016/0020-7225(68)90037-2

Cited by 107 publications

(40 citation statements)

References 1 publication

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“…Touchert et al [5] developed the linear theory of micropolar thermoelasticity in which Duhamel-Neumann analogy is extended to micropolar materials and the thermoelastic problem is reduced to a corresponding isothermal one with body forces and couples. Boschi and Iesan [6] investigated the linear theory of generalized micropolar thermoelasticity.…”

Section: Introductionmentioning

confidence: 99%

Axisymmetric Vibration for Micropolar Porous Thermoelastic Circular Plate

Kumar

Kaushal

Sharma

2017

International Journal of Applied Mechanics and Engineering

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The present investigation is concerned with a two dimensional axisymmetric problem in a homogeneous isotropic micropolar porous thermoelastic circular plate by using the eigen value approach. The Laplace and Hankel transform are used to solve the problem. The expression of displacements, microrotation, volume fraction field, temperature distribution and stresses are obtained in the transformed domain subjected to thermomechanical sources. A computer algorithm is developed for numerical computations. To obtain the resulting quantities in a physical domain, a numerical inversion technique is used. The resulting quantities are depicted graphically for a specific model. Some special cases are also deduced.

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Section: Introductionmentioning

confidence: 99%

Axisymmetric Vibration for Micropolar Porous Thermoelastic Circular Plate

Kumar

Kaushal

Sharma

2017

International Journal of Applied Mechanics and Engineering

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“…The change of body temperature is caused not only by the external and internal heat sources but also by the process of deformation itself. The micropolar theory was extended to include thermal effects by Nowacki [6], Eringen [7], Tauchert et al [8], Tauchert [9], Nowacki and Olszak [10]. One can refer to Dhaliwal and Singh [11][12] for a review on the micropolar thermoelasticity, as well as to Eringen and Kafadar [13] in "Continuum Physics" series in which the general theory of micromorphic media has been summed up.…”

Section: Introductionmentioning

confidence: 99%

Response of Thermoelastic Micropolar Cubic Crystal under Dynamic Load at an Interface

Ailawalia¹,

Sachdeva²,

Pathania³

2017

International Journal of Applied Mechanics and Engineering

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The purpose of this paper is to study the two dimensional deformation in a thermoelastic micropolar solid with cubic symmetry. A mechanical force is applied along the interface of a thermoelastic micropolar solid with cubic symmetry (Medium I) and a thermoelastic solid with microtemperatures (Medium II). The normal mode analysis has been applied to obtain the exact expressions for components of normal displacement, temperature distribution, normal force stress and tangential coupled stress for a thermoelastic micropolar solid with cubic symmetry. The effects of anisotropy, micropolarity and thermoelasticity on the above components have been depicted graphically.

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“…Eringen (1971) extended his work to include the axial stretch during the rotation of molecules and developed the theory of micro-polar elastic solid with stretch. The micropolar theory was extended to include thermal effects by Nowacki (1966), Eringen (1970), Tauchert et al (1968), Tauchert (1971), Nowacki and Olszak (1974). One can refer to Dhaliwal and Singh (1987) …”

Section: Introductionmentioning

confidence: 99%

Plane Strain Deformation In A Thermoelastic Microelongated Solid With Internal Heat Source

Ailawalia¹,

Sachdeva²,

Pathania³

2015

International Journal of Applied Mechanics and Engineering

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The purpose of this paper is to study the two dimensional deformation due to an internal heat source in a thermoelastic microelongated solid. A mechanical force is applied along an overlaying elastic layer of thickness h. The normal mode analysis has been applied to obtain the exact expressions for the displacement component, force stress, temperature distribution and microelongation. The effect of the internal heat source on the displacement component, force stress, temperature distribution and microelongation has been depicted graphically for Green-Lindsay (GL) theory of thermoelasticity.

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The linear theory of micropolar thermoelasticity

Cited by 107 publications

References 1 publication

Axisymmetric Vibration for Micropolar Porous Thermoelastic Circular Plate

Axisymmetric Vibration for Micropolar Porous Thermoelastic Circular Plate

Response of Thermoelastic Micropolar Cubic Crystal under Dynamic Load at an Interface

Plane Strain Deformation In A Thermoelastic Microelongated Solid With Internal Heat Source

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