Open AccessSolution of thermoelasticity problems for solids of revolution with transversal isotropic feature and a body force
Author(s) -
D.A. Ivanychev,
Ekaterina Levina
Publication year - 2019
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1348/1/012058
Subject(s) - isotropy , transversal (combinatorics) , boundary value problem , cylinder , body force , solid body , boundary (topology) , mathematics , mathematical analysis , isomorphism (crystallography) , mechanics , geometry , physics , quantum mechanics , chemistry , crystal structure , crystallography
The paper describes a method for determining a stress-strain state of transversally isotropic solids of revolution, which are simultaneously influenced by external load and a body force within a steady-state temperature field. The final condition of the body is determined by the combination of these 3 factors, which are also affecting each other. The boundary conditions method is applied to determine the final condition influenced by exposure to an external load and temperature; the inverse method is applied to determine the condition affected by and resulted from influence of the body force. Methodologies were developed to form the bases of internal and boundary conditions related by isomorphism, and the relations that define them were formulated. Problems were solved for a circular cylinder of rock and for a solid of revolution with nontrivial form. The results are presented graphically.