Open AccessQuasi-Static Solution of a Problem of Thermal Shock Acting on a Plate
Author(s) -
N.N. Rogacheva,
A. E. Suvorov
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 - 10.1088/1742-6596/1425/1/012114
Subject(s) - thermoelastic damping , focus (optics) , thermal shock , shock (circulatory) , field (mathematics) , stress (linguistics) , stress field , field equation , thermal , mechanics , mathematics , mathematical analysis , classical mechanics , physics , finite element method , thermodynamics , optics , medicine , linguistics , philosophy , pure mathematics
In most research works related to stress analysis of thin structures subjected to temperature change it is assumed that variability of temperature in time is limited. In classical theory of thermoelastic thin structures the case of strong dynamical effects is excluded from consideration. Under this assumption, from three-dimensional equations of thermoelasticity the equations of thermoelastic plates and shells of Kirchhoff-type are derived. In this paper we focus on the analysis of stress-strain state of a plate in strongly dynamical temperature field, for which the classical Kirchhoff theory is not suitable. The analysis is carried out by a mathematical method without making any hypotheses. A numerical example is considered.