Direct Data-Driven Computational Mechanics for Anelastic Material Behaviours – D3MecA
Numerical simulations in engineering and many fields of applied sciences require to provide, in addition to fundamental conservation principles, some constitutive relations between fields of interest, for example strain and stress in mechanics. Traditionally, these relations are derived from constitutive models, relying on a number of assumptions, and prone to significant epistemic uncertainty. Additionally, these models involve parameters, which can be difficult to identify, especially with relatively simple experiments such as uniaxial tests. The objective of this project is thus to develop methods allowing to perform numerical simulations of the behaviour of structures directly from available data (experimental or coming from fine scale computations), eliminating the necessity to formulate phenomenological constitutive models and the uncertainty associated with them. The methodology has been demonstrated on elastic materials, and the project aims at extending recent work on history-dependent material behaviours, such as elasto-visco-plasticity or visco-elasticity, overcoming the challenge of the resulting increased dimensionality of phase-space.
A general view of a data-driven (DD) approach to inelasticity has already been given by the proposers in a recent paper (https://doi.org/10.1016/j.cma.2019.02.016). The objectives of this project are to implement and assess the methodology in a framework able to handle cases oriented towards industrial applications: use of actual experimental, noisy, and possibly incomplete data, complex 3D geometries and loading, efficiency and robustness of solvers, uncertainty quantification. An additional objective is to provide an online platform allowing to share the methodology and the associated data with the scientific community.
Monsieur Laurent STAINIER (INSTITUT DE RECHERCHE EN GÉNIE CIVIL ET MÉCANIQUE)
The author of this summary is the project coordinator, who is responsible for the content of this summary. The ANR declines any responsibility as for its contents.
GeM INSTITUT DE RECHERCHE EN GÉNIE CIVIL ET MÉCANIQUE
RWTH RWTH Aachen University / Institut für Angewandte Mechanik
UBonn Universität Bonn / Institute for Applied Mathematics
Help of the ANR 260,712 euros
Beginning and duration of the scientific project: March 2020 - 36 Months