Thermoelasticity in a two-phase hollow cylinder with longitudinally graded material properties

In this paper the problem of linear thermoelasticity in a laminate with functional gradation of properties is considered. In micro level this laminate is made of two different materials, microlaminas, distributed non-periodically but also not randomly along one of directions, what in macro level results in aforementioned functionally gradation of laminate properties. In order to describe behavior of such structure, equations of two models are here presented – the tolerance and the tolerance-asymptotic model. Both are obtained by the tolerance averaging technique. The basic aim of this work is to analyse the influence of some terms from these averaged equations on the distribution and the values of the displacements and the temperature functions. To solve the equations of two proposed models the finite difference method is used.

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“…where p g and p gh -modified invariational constitutive laws, are defined in the form of Eqs. (14) and (15) ⟨p (14) ⟨p gh ⟩ = ⟨cρ⟩θ + ⟨T 0 B⟩ :∇ẇ…”

Section: Modelling Foundations and Proceduresmentioning

confidence: 99%

“…This technique is expanded and applied in many publications to analyze various issues concerning periodic as well as functionally graded structures. Among them are thermoelasticity problems [10][11][12], thermal issues [13][14][15], dynamic [16][17][18][19][20] and stability problems [21].…”

Section: Introductionmentioning

confidence: 99%

On Thermoelasticity in FGL – Tolerance Averaging Technique

Pazera

Ostrowski

Jędrysiak

2018

Mechanics and Mechanical Engineering

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“…Tolerance and asymptotic models of thermo-elasticity problems for two-component transversally graded laminates were proposed by Jȩdrysiak [2] as well as Pazera and Jȩdrysiak [5]. A similar problem was analysed by Ostrowski [4] for a two-component longitudinally graded hollow cylinder. Thermal stresses in periodic two-component multi-layered structures were considered for example by https://doi.org/10.2478/mme-2018-0063…”

Section: Introductionmentioning

confidence: 99%

Displacements Caused by the Temperature in Multicomponent, Multi-Layered Periodic Material Structures

Bagdasaryan

Wagrowska

Szlachetka

2018

Mechanics and Mechanical Engineering

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The present study aims to analyse a two-dimensional problem of displacements in theory of thermal stresses for multicomponent, multi-layered periodic composites. The model equations are obtained within the framework of the tolerance modelling procedure. These equations allow to determine the distribution of displacements caused by the temperature field in the theory of thermal stresses. The paper presents an example of a solution of a boundary value problem.

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“…Two models (tolerance and asymptotic) of thermo-elasticity problems for two--component transversally graded laminates were proposed by Jędrysiak (2011) as well as Pazera and Jędrysiak (2015). A similar problem was analysed by Ostrowski (2014) for a two-component longitudinally graded hollow cylinder.…”

Section: Introductionmentioning

confidence: 99%