Two-Dimensional Mixed Problem of Thermoelasticity for a Semistrip
- Mechnikov Odesa National University (Ukraine)
We study the stress state of a semistrip with conditions of smooth contact imposed on one of its lateral surfaces and coupling conditions given on the other surface under the action of normal loading and temperature on the end face. The original problem is reduced to a one-dimensional vector boundary-value problem by the method of integral transformations. By using the tools of matrix differential calculus and Green matrix function, we reduce the obtained problem to a singular integral equation for the derivative of displacements on the end face of the semistrip and solve this equation by the method of orthogonal polynomials. We perform the numerical analysis of fields of displacements and stresses inside the semistrip and establish the zones of tensile stresses on the lateral face of the semistrip and the conditions of their formation.
- OSTI ID:
- 22771724
- Journal Information:
- Journal of Mathematical Sciences, Vol. 228, Issue 2; Other Information: Copyright (c) 2018 Springer Science+Business Media, LLC, part of Springer Nature; http://www.springer-ny.com; Country of input: International Atomic Energy Agency (IAEA); ISSN 1072-3374
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
42 ENGINEERING
BOUNDARY-VALUE PROBLEMS
DIFFERENTIAL CALCULUS
GREEN FUNCTION
INTEGRAL EQUATIONS
NUMERICAL ANALYSIS
ONE-DIMENSIONAL CALCULATIONS
POLYNOMIALS
STATIC LOADS
STRESSES
TEMPERATURE DEPENDENCE
THERMOELASTICITY
TWO-DIMENSIONAL CALCULATIONS
TWO-DIMENSIONAL SYSTEMS