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Purpose

The purpose of this paper is to study the deformation of Green‐Naghdi (type III) thermoelastic solid half‐space under hydrostatic initial stress and rotation.

Design/methodology/approach

The normal mode analysis is used to obtain the analytical expressions of the displacement components, force stress and temperature distribution.

Findings

The numerical results are given and presented graphically when mechanical/thermal source is applied.

Originality/value

Comparisons are made in the presence and absence of hydrostatic initial stress and rotation and their effect is shown graphically.

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