Poisson’s ratio influence on thermoelastic stresses distribution in three-dimensional construction elements
DOI:
https://doi.org/10.15587/1729-4061.2012.5558Keywords:
Coupled Thermoelasticity, Poisson’s Ratio, Amplitude-Frequency Characteristics, Dynamic Stresses ConcentrationAbstract
Modern three-dimensional construction elements, which are modeled by finite length cylinders and layers, weakened by through-the-thickness holes of rather different cross-sections, usually work under the influence of great physical and mechanical fields. It leads to a necessity of solving a generalized coupled thermoelasticity problem in the case of finite heat spreading velocity. Using F-solutions method the pointed problem was reduced to well-known systems of one-dimensional singular integral equations of the second order, which was reduced to the system of linear algebraic equations by mechanical quadrature method. Effective numeric schemes and software has been developed and used to solve the problems of thermoelastic coupling influence on frequency-amplitude characteristics of finite cylinders and dynamic stresses concentration in a layer, weakened by through-the–thickness holes. Poisson’s ratio influence on thermoelastic stresses distribution in three-dimensional construction elements was showedReferences
Даниловская В.И. Температурные напряжения в упругом полупространстве при внезапном нагреве его границы. //Прикладная математика и механика – 1950. – 14, № 3. – С. 316 – 318.
Коваленко А.Д. Термоупругость. – Киев: Вища школа, 1975. – 216 с.
Подстригач Я.С., Коляно Ю.М. Обобщенная термомеханика. – Киев: Наукова думка, 1976. – 312 с.
Грибанов В.Ф., Паничкин Н.Р. Связанные и динамические задачи тер-моупругости. – М.: Машиностроение, 1984. – 184 с.
Молотов М.В., Киль И.Д. Связанная динамическая задача термоупругости для полупространства // Прикладная математика и механика. – 1996. – № 4 (60). – С. 687 – 696.
Suh C.S., Burger C.P. Effects of Thermomechanical Coupling and RelaxationTimes on Wave Spectrum in Dynamic Theory of Generalized Thermoelasticity // Trans. ASME. J. Appl. Mech. – 1998. – № 3 (65). – Pp. 605 – 613.
Пырьев Ю.А. Распространение волн в упругих средах с учетом связанности физико-механических полей. – М.: СИП РИА, 1999. – 206 с.
Фильштинський Л., Бондар О. Зв’язані термопружні поля в шарі при зосереджених збудженнях (кососиметричний розв’язок) // Машинознавство. – 2004, № 6 (84). – С. 30 – 38.
Norris A.N., Pholiadis D.M. Thermoelastic Relaxation in Elastic Structures With Application to Thin Plates. // Quart. J. Mech. Appl. Math. 58 (1). – 2005. – Pp. 145-163.
Фильштинский Л.А., Бондарь А.В. Влияние связанности механических и температурных полей на амплитудно-частотные характеристики цилиндра // Прикладная механика. – 2006. – Т. 42, № 10. – С. 86 – 95.
A. Bahtui, M.R. Eslami. Coupled Thermoelasticity of of Functionally Graded Cylindrical Shells // Mechanics Research Communications (Elsevier), V. 34. – 2007. – Pp. 1 – 18.
Фильштинский Л.А., Бондарь А.В. Прочность толстостенных эле-ментов конструкций с учетом термоупругих напряжений // Проблемы машиностроения. – 2008. – Т. 11, № 5 – 6. – С. 60 – 69.
L. Stainier, M. Ortiz. Study and validation of a variational theory of thermo-mechanical coupling in finite visco-plasticity// International Journal of Solids and Structures. – 2010.– no 47 – Pp. 705–715.
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2014 Александр Вячеславович Бондарь, Наталья Вячеславовна Бондарь

This work is licensed under a Creative Commons Attribution 4.0 International License.
Our journal abides by the CREATIVE COMMONS copyright rights and permissions for open access journals.
Authors, who are published in this journal, agree to the following conditions:
1. The authors reserve the right to authorship of the work and pass the first publication right of this work to the journal under the terms of a Creative Commons Attribution License, which allows others to freely distribute the published research with the obligatory reference to the authors of the original work and the first publication of the work in this journal.
2. The authors have the right to conclude separate supplement agreements that relate to non-exclusive work distribution in the form in which it has been published by the journal (for example, to upload the work to the online storage of the journal or publish it as part of a monograph), provided that the reference to the first publication of the work in this journal is included.