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Person# Sacha Zenon Wattel

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Antonio Joaquin Garcia Suarez, Jean-François Molinari, Yannick André Neypatraiky, Sacha Zenon Wattel

Model-free data-driven computational mechanics (DDCM) [Kirchdoerfer & Ortiz, 2016] is a new paradigm for simulations in solid mechanics. As in the classical method, the boundary value problem is formulated with physics-based PDEs such as the balance of momentum and compatibility equations, which together define the admissibility conditions. However, DDCM does not use phenomenological constitutive laws to close the problem. Instead it uses directly data on material response, originating from either exper- iments or micro-physical simulations, in order to reduce constitutive modeling bias. The problem is solved in phase space where the admissibility conditions define a manifold and the material behavior is represented by a set of material points. DDCM aims to find the admissible state that best matches the material points. The DDCM framework has been formulated and used to solve problems in statics and dynamics, for multi- scale modeling, and has been coupled to classical solvers such as the finite element method to run simulations more efficiently. In this work, DDCM is applied to a frictional interface. Data-driven finite-thickness cohesive elements are sandwiched between two linear elastic bodies solved with FEM. The material response database is populated from micro-physical discrete simulations of two contacting rough surfaces sliding against each other. Through interactions between the interface, the bulk and the boundary conditions, complex behaviors such as dynamically propagating slip fronts arise.

2023Antonio Joaquin Garcia Suarez, Jean-François Molinari, Sacha Zenon Wattel

This poster was presented at the IUTAM Symposium on Data-driven mechanics, taking place in Paris, France in Octoboer 2022. It shows a proof-of-concept for a new application of Data-Driven Computational Mechanics (DDCM): using it as a new type of adaptive refinement for linear elastic FEM simulations. DDCM is a new paradigm to solve mechanical problems without using a constitutive law. A mechanical problem can be formulated with a set of equations originating from physical principles, such as balance of momentum, and from the geometry of deformation: the compatibility equations. To lose the system in the classical paradigm, a constitutive law, linking stress and strain, is employed. In Data-Driven Mechanics, a set of strain-stress datapoints replaces the constitutive law. No model is assumed, the points are used directly and thus no modeling bias or simplification is introduced. However, some materials (e.g. metals) can be convincingly described as linear and elastic in the small strain regime. Since DDCM is computationally intensive, it makes sense to use only when and where necessary.

2022