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Шевченко, В. П.; Gol'tsev, A. S.

doi:10.1023/a:1012364530719

Cited by 4 publications

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“…However, most of such studies are attributed to internal and surface heat sources, (e.g., Lanzano 1986a, b, Dziewonski and Anderson 1981, Rundle 1982, Small and Booker 1986, Abd-Alla 1995, Shevchenko and Gol'tsev 2001, Kit et al 2001, Youssef 2006, 2009, 2010, Mallik and Kanoria 2008, Hou et al 2008a, b, 2009, 2011, Kumar and Gupta 2009, Attetkov et al 2009. Some authors have considered mechanical sources also; e.g., Pan (1990) considered quasi-static governing equations of thermoelasticity and discussed the transient thermoelastic deformation in a transversely isotropic and layered half space by surface loads and internal sources.…”

Section: Introductionmentioning

confidence: 99%

Quasi-static Planar Deformation in a Medium Composed of Elastic and Thermoelastic Solid Half Spaces Due to Seismic Sources in an Elastic Solid

Vashisth

Rani²,

Singh

2015

Acta Geophys.

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A b s t r a c t A two-dimensional problem of quasi static deformation of a medium consisting of an elastic half space in welded contact with thermoelastic half space, caused due to seismic sources, is studied. Source is considered to be in the elastic half space. The basic equations, governed by the coupled theory of thermoelasticity, are used to model for thermoelastic half space. The analytical expressions for displacements, strain and stresses in the two half spaces are obtained first for line source and then for dip slip fault. The results for two particular cases, adiabatic conditions and isothermal conditions, are also obtained. Numerical results for displacements, stresses and temperature distribution have also been computed and are shown.

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Section: Introductionmentioning

confidence: 99%

Quasi-static Planar Deformation in a Medium Composed of Elastic and Thermoelastic Solid Half Spaces Due to Seismic Sources in an Elastic Solid

Vashisth

Rani²,

Singh

2015

Acta Geophys.

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Thermoelastic bending of locally heated orthotropic shells

Шевченко

Gol'tsev

2007

Int Appl Mech

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tsev UDC 539.3The thermoelastic bending of locally heated orthotropic shells is studied using the classical theory of thermoelasticity of thin shallow orthotropic shells and the method of fundamental solutions. Linear distribution of temperature over thickness and the Newton's law of cooling are assumed. Numerical analysis is carried out for orthotropic shells of arbitrary Gaussian curvature made of a strongly anisotropic material. The behavior of thermal forces and moments near the zone of local heating is studied for two areas of thermal effect: along a coordinate axis and along a circle of unit radius. Generalized conclusions are drawn

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Fundamental solutions of the thermoelastic equations for transversely isotropic plates

2010

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The problem of thermoelasticity for transversely isotropic plates acted upon by concentrated heat sources is solved. The {1, 2}-order equations of thermoelasticity that incorporate the transverse shear and normal stresses are used. A bending heat source with symmetric heat transfer is considered. The dependence of thermal stress components on the thermal and thermomechanical parameters of transversely isotropic plates is studied Introduction. Fundamental solutions play a determining role in solving various boundary-value problems in the mechanics of thin-walled members, including those under concentrated and local loads, including local thermal loads.The thermoelastic state of thin-walled members subject to concentrated thermal loads has been studied since the mid 20th century [6,7]. Two models of concentrated thermal loading of thin-walled members were proposed: concentrated heating [5,12] and concentrated heat source [1, 6, 13]. These models assume an arbitrary distribution of temperature (first model) or volume heat sources (second model) along one coordinate line across the thickness. The intersection point of this coordinate line with the mid-surface is where a concentrated thermal load is applied. In the case of the first model, these are integral characteristics of temperature different from their constant values in the whole domain. In the case of the second model, they are integral heat sources responsible for the nonuniform temperature distribution in the localization of the concentrated thermal load.The arbitrary distribution f z ( )of temperature (first model) or volume heat sources (second model) across the thickness can be represented as the sum of even and odd functions. The even component is responsible for a thermoelastic membrane state [9] of the plate with symmetric heat transfer (the heat transfer coefficients on the faces of the plate are equal). Such a thermal load is called a plane one [5,16]. The odd component of f z ( ) is responsible for a thermoelastic bending state [9] of the plate with symmetric heat transfer. Such a thermal load is called a bending one [5,16].The model of concentrated heat source is more adequate since it includes the heat-conduction equations. The first model, however, is more reliable when the source strength (energy per unit time) is unknown. In this case, it is sufficient to know the temperature in the loaded area and its distribution throughout the thickness.So far, the thermoelastic state of anisotropic plates and shells under concentrated thermal loads has been analyzed within the framework of the classical theory [2,13,15,17]. The classical theory neglects transverse shear and reduction. Therefore, refined theories are relevant when it comes to modern composite materials with low shear stiffness.We will solve the thermoelastic problem for a transversely isotropic plate with a concentrated heat source using the {1, 2}-order equations of thermoelasticity [9] that allow for all the components of the stress tensor. We will examine the effect of thermal and thermo...

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Untitled

Cited by 4 publications

References 1 publication

Quasi-static Planar Deformation in a Medium Composed of Elastic and Thermoelastic Solid Half Spaces Due to Seismic Sources in an Elastic Solid

Quasi-static Planar Deformation in a Medium Composed of Elastic and Thermoelastic Solid Half Spaces Due to Seismic Sources in an Elastic Solid

Thermoelastic bending of locally heated orthotropic shells

Fundamental solutions of the thermoelastic equations for transversely isotropic plates

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