Model-free Data-Driven inference in computational mechanics

نویسندگان

چکیده

We extend the model-free Data-Driven computing paradigm to solids and structures that are stochastic due intrinsic randomness in material behavior. The behavior of such materials is characterized by a likelihood measure instead constitutive relation. specifically assume known only through an empirical point-data set or phase space. state solid structure additionally subject compatibility equilibrium constraints. problem then infer given structural outcome interest. In this work, we present method inference determines likelihoods outcomes from data requires no prior modeling. particular, computation expectations reduced explicit sums over local sets quadratures admissible states, i. e., states satisfying equilibrium. complexity data-set linear number points members structure. Efficient population annealing procedures fast search algorithms for accelerating calculations presented. scope, cost convergence properties assessed with aid selected applications benchmark tests.

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ژورنال

عنوان ژورنال: Computer Methods in Applied Mechanics and Engineering

سال: 2023

ISSN: ['0045-7825', '1879-2138']

DOI: https://doi.org/10.1016/j.cma.2022.115704