Доступ предоставлен для: Guest
Портал Begell Электронная Бибилиотека e-Книги Журналы Справочники и Сборники статей Коллекции
Heat Transfer Research
Импакт фактор: 0.404 5-летний Импакт фактор: 0.8 SJR: 0.264 SNIP: 0.504 CiteScore™: 0.88

ISSN Печать: 1064-2285
ISSN Онлайн: 2162-6561

Выпуски:
Том 51, 2020 Том 50, 2019 Том 49, 2018 Том 48, 2017 Том 47, 2016 Том 46, 2015 Том 45, 2014 Том 44, 2013 Том 43, 2012 Том 42, 2011 Том 41, 2010 Том 40, 2009 Том 39, 2008 Том 38, 2007 Том 37, 2006 Том 36, 2005 Том 35, 2004 Том 34, 2003 Том 33, 2002 Том 32, 2001 Том 31, 2000 Том 30, 1999 Том 29, 1998 Том 28, 1997

Heat Transfer Research

DOI: 10.1615/HeatTransRes.v37.i2.60
pages 149-164

Quasistatic Thermoelastic Fields in a Half-Space Heated by a Circular Surface Heat Source

V. A. Pinsker
Open Joint-Stock Company "Drilling Techniques" of United Heavy Machinery, Moscow, Russia

Краткое описание

An accurate analytical solution of a classical problem, related to unbound thermoelasticity in a homogeneous and isotropic linearly-elastic half-space has been obtained in a closed integral form. Important partial cases, when the expressions for temperature and stresses take a simpler form, have been analyzed. The asymptotics of the found solutions have been investigated at small and large values of dimensionless time near the heat source and at a distance from it. The fields of isotherms and isobars have been studied. Unapparent properties of spatial inversion of both temperature and thermal stresses have been found. Maximum values of all components of the thermoelastic field at different values of the Poisson ratio have been found. For steady-state heating, a general solution, expressed in terms of a set of elliptical integrals, has been constructed in an explicit form. It has been shown that only compression stresses are possible in a steady-state mode in a semibounded body. The deformation profile of a free boundary has been determined. Possibility of mechanical destructions in the heated half-space has been analyzed. The graphs illustrating the spatial distribution and the time evolution of thermoelastic fields are given. The constructed solution can serve as a Green function for a set of other problems, having similar geometrical and boundary conditions.