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This research aims to formulate a generalized approach for unsteady thermoelasticity problems focusing on stresses.

On the Issue of a Generalized Formulation of an Unsteady Problem of Coupled Thermoelasticity in Stresses

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This research aims to formulate a generalized approach for unsteady thermoelasticity problems focusing on stresses.
Developed general equations for deformation compatibility in an isotropic thermoelastic medium
Utilized a curvilinear coordinate system for the model
Analyzed numerical algorithms based on the finite difference method for problem-solving
Established general equations that extend Beltrami-Mitchell equations for unsteady loads
Identified advantages of the model for numerical simulations
Presented fundamental solutions for one-dimensional thermal elasticity problems

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This theoretical formulation addresses coupled thermoelasticity in stresses, suggesting new equations for unsteady loads.

Davidenko et al. (2026) studied this question.

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