Model-Free Data-Driven inelasticity

被引:200
作者
Eggersmann, R. [1 ,2 ,3 ]
Kirchdoerfer, T. [1 ,2 ,3 ]
Reese, S. [1 ,2 ,3 ]
Stainier, L. [1 ,2 ,3 ]
Ortiz, M. [1 ,2 ,3 ]
机构
[1] Rhein Westfal TH Aachen, Inst Appl Mech, Mies van der Rohe Str 1, D-52074 Aachen, Germany
[2] CALTECH, Div Engn & Appl Sci, 1200 E Calif Blvd, Pasadena, CA 91125 USA
[3] Ecole Cent Nantes, UMR 6183 CNRS ECN UN, Inst Civil & Mech Engn, 1 Rue Noe, F-44321 Nantes, France
关键词
Data-Driven computing; Inelasticity; Viscoelasticity; Plasticity; NON-LINEAR MATERIALS; THERMODYNAMICS; RELAXATION; MECHANICS;
D O I
10.1016/j.cma.2019.02.016
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
We extend the Data-Driven formulation of problems in elasticity of Kirchdoerfer and Ortiz (2016) to inelasticity. This extension differs fundamentally from Data-Driven problems in elasticity in that the material data set evolves in time as a consequence of the history dependence of the material. We investigate three representational paradigms for the evolving material data sets: (i) materials with memory, i. e., conditioning the material data set to the past history of deformation; (ii) differential materials, i. e., conditioning the material data set to short histories of stress and strain; and (iii) history variables, i. e., conditioning the material data set to ad hoc variables encoding partial information about the history of stress and strain. We also consider combinations of the three paradigms thereof and investigate their ability to represent the evolving data sets of different classes of inelastic materials, including viscoelasticity, viscoplasticity and plasticity. We present selected numerical examples that demonstrate the range and scope of Data-Driven inelasticity and the numerical performance of implementations thereof. (C) 2019 Elsevier B.V. All rights reserved.
引用
收藏
页码:81 / 99
页数:19
相关论文
共 47 条
[1]  
[Anonymous], 1990, Plasticity Theory
[2]  
[Anonymous], 1970, A Critical Review of Thermodynamics
[3]  
[Anonymous], 1975, VISCOELASTICITY
[4]  
[Anonymous], 2012, Non-homogeneous boundary value problems and applications
[5]   A new reliability-based data-driven approach for noisy experimental data with physical constraints [J].
Ayensa-Jimenez, Jacobo ;
Doweidar, Mohamed H. ;
Sanz-Herrera, Jose A. ;
Doblare, Manuel .
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2018, 328 :752-774
[7]  
Boltzmann L., 1874, WIEN BER, V70
[8]  
COLEMAN BD, 1964, ARCH RATION MECH AN, V17, P1
[9]   THE THERMODYNAMICS OF ELASTIC MATERIALS WITH HEAT CONDUCTION AND VISCOSITY [J].
COLEMAN, BD ;
NOLL, W .
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 1963, 13 (03) :167-178
[10]   FOUNDATIONS OF LINEAR VISCOELASTICITY [J].
COLEMAN, BD ;
NOLL, W .
REVIEWS OF MODERN PHYSICS, 1961, 33 (02) :239-249