What question did this study set out to answer?

The study aims to understand how compressible Blatz–Ko spheres respond dynamically to eigenstrain changes.

April 10, 2026Journal of Vibration and Control

A numerical solution to the dynamic response of a compressible Blatz–Ko sphere with spherically symmetric eigenstrains

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The study aims to understand how compressible Blatz–Ko spheres respond dynamically to eigenstrain changes.
Derived nonlinear dynamic equilibrium equations for inclusion and matrix.
Applied finite difference method alongside Richardson and Newton methods.
Conducted numerical evaluations under sudden loading and unloading for varying inclusion sizes.
Equal eigenstrains create a hydrostatic stress field within the inclusion region.
Convergence time of deformation varies based on inclusion size and eigenstrain value.
Larger inclusions slow convergence for eigenstrains less than unity, but accelerate it for eigenstrains above unity.

Authors

HSHamed Sarsangi SMSeyedemad MotaghianUniversity of Tehran MMMassood MofidSharif University of Technology

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Implication

Research investigates spherical wave response in a compressible Blatz–Ko sphere, suggesting implications for material behavior under varying conditions.

Cite This Study

Sarsangi et al. (2026) studied this question.

synapsesocial.com/papers/69d893a86c1944d70ce04a06 https://doi.org/10.1177/10775463261434936

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Implication

Research investigates spherical wave response in a compressible Blatz–Ko sphere, suggesting implications for material behavior under varying conditions.

A numerical solution to the dynamic response of a compressible Blatz–Ko sphere with spherically symmetric eigenstrains

Key Points

Discussion

Implication

Cite This Study

A numerical solution to the dynamic response of a compressible Blatz–Ko sphere with spherically symmetric eigenstrains

Key Points

Discussion

Implication

Cite This Study

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