Communication Dans Un Congrès Année : 2026

Immersed Isogeometric LaTIn Method for the Efficient Simulation of Composite Microstructures with Multiple Nonlinear Interfaces

Résumé

Computational micromechanics, aimed at performing numerical simulations at the microscale, is of utmost importance, particularly in the current context of digital twins in the mechanics of materials. This talk presents the development of an immersed isogeometric LaTIn method designed for the efficient and accurate simulation of complex composite microstructures featuring multiple nonlinear interfaces. The first variant of the approach combines IsoGeometric Analysis, for its high accuracy, with an the immersed boundary-conformal strategy that eliminates complex meshing while maintaining conformal matrix/inclusion interfaces through the construction of conformal layers. Nonlinear behaviors are localized at these conformal interfaces and efficiently handled by the LaTIn algorithm, while the non-conformal coupling between subdomains remains in the linear elastic regime and is treated using Nitsche’s method. In the second version of the approach, the conformal layers are removed, offering increased flexibility but requiring additional stabilization of the immersed isogeometric LaTIn formulation. The efficiency and robustness of the framework are demonstrated through several nonlinear 2D benchmark cases, including unilateral contact, frictional contact, and delamination in composite microstructures.

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Dates et versions

hal-05547905 , version 1 (11-03-2026)

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  • HAL Id : hal-05547905 , version 1

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Robin Bouclier. Immersed Isogeometric LaTIn Method for the Efficient Simulation of Composite Microstructures with Multiple Nonlinear Interfaces. "Unfitted Method and Interface Problems" Workshop, Jan 2026, Villars-sur-Ollon, Switzerland. ⟨hal-05547905⟩
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