Local Gradient Thermomechanics

Losovyj, Yaroslav; Nahirnyj, Taras; Tchervinka, Kostiantyn

doi:10.1007/978-94-007-2739-7_833

Cited by 9 publications

(2 citation statements)

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“…Analysis of the results of numerical studies shows that the distribution of stresses is symmetrical across the thickness of the layer, near-surface stresses are tensile, and in the middle part of the layer compressive. Taking into account the dependence of the Young's modulus on the density leads to a decrease in surface tension compared to the case of a linear formulation of the problem β e = β n = 0 [2,18].…”

Section: Analysis Of the Problem Solutionmentioning

confidence: 99%

Stress-deformed state and strength of a locally heterogeneous electrically conductive layer

Markovych¹,

Senyk²,

Nodzhak³

2022

Math. Model. Comput.

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The key system of equations of the solid body model is presented, taking into account the structural heterogeneity of the material and the roughness of the real surface, which is applied to the study of interconnected fields in an unbounded heterogeneous conductive layer. The effect of taking into account the dependences on the density of local Young's modulus and Poisson's ratio on the size effects of surface stresses in the layer and its strength limit is considered.

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Section: Analysis Of the Problem Solutionmentioning

confidence: 99%

Stress-deformed state and strength of a locally heterogeneous electrically conductive layer

Markovych¹,

Senyk²,

Nodzhak³

2022

Math. Model. Comput.

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“…Another approach to description of structural and near-surface non-homogeneities is the local gradient approach in thermomechanics [4,5,18]. It is based on the general principles of irreversible thermodynamics and nonlinear mechanics.…”

Section: Introductionmentioning

confidence: 99%

Mathematical modeling of near-surface non-homogeneity in nanoelements

Nahirnyj¹,

Tchervinka²

2014

Math. Model. Comput.

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This paper is a further development of the local gradient approach in thermomechanics. The presented model allows us to study the stress-strain state of nanoelements under one-continuum approach. Thermoelastic body is considered as an open thermodynamical system where the mass fluxes and sources are connected with sudden occurrence of the structure of material and real surface of the body at the moment of body formation. The complete system of equations includes mass balance equation generalized for locally heterogeneous systems. As a model problem, there is considered an equilibrium state of a thin layer (film). The size effects of near-surface stress and effective Young's modulus have been studied.

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Continuum Modeling of Nanoelements

Nahirnyj

Tchervinka

2017

Springer Proceedings in Physics

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Local Gradient Thermomechanics

Cited by 9 publications

References 0 publications

Stress-deformed state and strength of a locally heterogeneous electrically conductive layer

Stress-deformed state and strength of a locally heterogeneous electrically conductive layer

Mathematical modeling of near-surface non-homogeneity in nanoelements

Continuum Modeling of Nanoelements

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