Couple-Stresses in the Theory of Thermoelasticity

Nowacki, Witold

doi:10.1007/978-3-7091-5581-3_17

Cited by 93 publications

(85 citation statements)

References 2 publications

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“…It is well-founded to introduce the intermolecular moment action and rotation of molecule for analysis of the problems of the nonsymmetrical thermoelasticity [3][4][5][6] and thermal couple stress nanomechanics [13].…”

Section: Discussionmentioning

confidence: 99%

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Theory and experimental verification of thermal stresses in Cosserat medium

Sikoń¹

2009

Bulletin of the Polish Academy of Sciences: Technical Sciences

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Abstract. An asymmetrical inter-atomic action, basic for a thermal couple stress presence, has been investigated in this work. A mechanical description of a Cosserat thermoelasticity is replaced by an equivalent magnetic representation. Then, a magnetization of a medium is analyzed. An experimental demonstration of the occurrence of the non-central load of the atom has been made applying the Electron Paramagnetic Resonance spectrometer. The mathematical model of the measurements has been presented in form of Bloch equations with extension to Cosserat medium.

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Section: Discussionmentioning

confidence: 99%

“…The hypothesis of the couple stresses [1,2], introduced into the thermoelasticity [3][4][5][6], has not been experimentally verified yet. The way of determining six Cosserat elastic constants is shown in [7].…”

Section: Introductionmentioning

confidence: 99%

Theory and experimental verification of thermal stresses in Cosserat medium

Sikoń¹

2009

Bulletin of the Polish Academy of Sciences: Technical Sciences

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“…(1992), Abousleiman et al (1998), Ghassemi and Diek (2002), Tod (2003). Eringen (1970) and Nowacki (1966)developed the linear theory of micropolar thermoelasticity which are known as micropolar coupled thermoelasticity to include thermal effects. Goodman and Cowin (1972) established a continuum theory for granular materials, whose matrix material (or skeletal) is elastic and interstices are voids and they introduced the concept of distributed body, which represents a continuum model for granular materials (sand, grain, powder, etc) as well as porous materials (rock, soil, sponge, pressed powder, cork, etc.).…”

Section: Latin American Journal Of Solids and Structures 12 (2015) 14mentioning

confidence: 99%

Two-Dimensional Fractional Order Generalized Thermoelastic Porous Material

Abbas

Youssef

2015

Lat. Am. j. solids struct.

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In the work, a two-dimensional problem of a porous material is considered within the context of the fractional order generalized thermoelasticity theory with one relaxation time. The medium is assumed initially quiescent for a thermoelastic half space whose surface is traction free and has a constant heat flux. The normal mode analysis and eigenvalue approach techniques are used to solve the resulting non-dimensional coupled equations. The effect of the fractional order of the temperature, displacement components, the stress components, changes in volume fraction field and temperature distribution have been depicted graphically.

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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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Couple-Stresses in the Theory of Thermoelasticity

Cited by 93 publications

References 2 publications

Theory and experimental verification of thermal stresses in Cosserat medium

Theory and experimental verification of thermal stresses in Cosserat medium

Two-Dimensional Fractional Order Generalized Thermoelastic Porous Material

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

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