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arXiv · 2505.13172

Effective thermal conduction of a Signorini-type problem in composites with rough interface

Sara Monsurrò·Carmen Perugia·Federica Raimondi
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Abstract

We analyse the effect of a Signorini-type interface condition on the asymptotic behaviour, as {\epsilon} tends to zero, of a problem posed in an open bounded cylinder of {R^N}, {N\geq 2}, divided in two connected components by an imperfect rough surface. The Signorini-type condition is expressed by means of two complementary equalities involving the jump of the solution on the interface and its conormal derivative via a parameter {\gamma}. Different limit problems are obtained according to the values of {\gamma} and the amplitude of the interface oscillations.

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Sara Monsurrò, Carmen Perugia, Federica Raimondi. 2025-05-19. Effective thermal conduction of a Signorini-type problem in composites with rough interface. https://arxiv.org/abs/2505.13172

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