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arXiv · 2510.13021

Computation of stresses in jammed packings modeled with Tresca friction

Frédéric Marazzato·Shankar Venkataramani
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Abstract

This paper is interested in the computation of stresses within jammed packings of rigid polygonal cells. The cells are considered to follow a Tresca friction law. First, a constrained minimization problem is introduced where the friction energy is minimized while enforcing the non-interpenetration of neighboring cells as inequality constraints. The corresponding dual maximization problem is then deduced and its solutions provide normal stresses at the interface between cells. Finally, lowest order Raviart-Thomas finite elements are used to reconstruct a consistent stress field by solving local problems. Numerical results are presented to showcase the consistency and robustness of the proposed methodology.

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Frédéric Marazzato, Shankar Venkataramani. 2025-10-14. Computation of stresses in jammed packings modeled with Tresca friction. https://arxiv.org/abs/2510.13021

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