Reduced and all-at-once approaches for model calibration and discovery in computational solid mechanics

U Römer, S Hartmann, JA Tröger… - Applied …, 2024 - asmedigitalcollection.asme.org
In the framework of solid mechanics, the task of deriving material parameters from
experimental data has recently re-emerged with the progress in full-field measurement …

Polyconvexity of generalized polynomial-type hyperelastic strain energy functions for near-incompressibility

S Hartmann, P Neff - International journal of solids and structures, 2003 - Elsevier
In this article we investigate several models contained in the literature in the case of near-
incompressibility based on invariants in terms of polyconvexity and coerciveness inequality …

Computational Methods for Elastoplasticity: An Overview of Conventional and Less-Conventional Approaches

G Scalet, F Auricchio - Archives of Computational Methods in Engineering, 2018 - Springer
The need of accurately reproducing the behaviour of elastoplastic materials in
computational environments for the solution of engineering problems motivates the …

Comparison of monolithic and splitting solution schemes for dynamic porous media problems

B Markert, Y Heider, W Ehlers - International journal for …, 2010 - Wiley Online Library
Proceeding from the governing equations describing a saturated poroelastic material with
intrinsically incompressible solid and fluid constituents, we compare the monolithic and …

On finite linear viscoelasticity of incompressible isotropic materials

P Haupt, A Lion - Acta mechanica, 2002 - Springer
The assumption of incompressibility as a kinematic constraint condition leads to
consequences, which are of physical interest in view of a thermodynamically consistent …

Mechanics of nonlinear visco-hyperelastic-hysteresis membranes

N Firouzi - International Journal of Non-Linear Mechanics, 2022 - Elsevier
This contribution aims at develo** a general formulation for the large deformation analysis
of membranes considering both hysteresis and viscoelastic effects. Firstly, the kinematics of …

An explicit solution for implicit time step** in multiplicative finite strain viscoelasticity

AV Shutov, R Landgraf, J Ihlemann - Computer Methods in Applied …, 2013 - Elsevier
We consider the numerical treatment of one of the most popular finite strain models of the
viscoelastic Maxwell body. This model is based on the multiplicative decomposition of the …

A remark on the application of the Newton-Raphson method in non-linear finite element analysis

S Hartmann - Computational Mechanics, 2005 - Springer
Abstract Usually the notion “Newton-Raphson method” is used in the context of non-linear
finite element analysis based on quasi-static problems in solid mechanics. It is pointed out …

Anisotropic finite strain viscoelasticity based on the Sidoroff multiplicative decomposition and logarithmic strains

M Latorre, FJ Montáns - Computational Mechanics, 2015 - Springer
In this paper a purely phenomenological formulation and finite element numerical
implementation for quasi-incompressible transversely isotropic and orthotropic materials is …

Modeling and simulation of the curing process of epoxy resins using finite elements

C Leistner, S Hartmann, D Abliz… - Continuum Mechanics and …, 2020 - Springer
This article discusses several aspects of the curing process in polymers. First, we collect
experimental data for an Araldite epoxy resin and calibrate the classical model of Kamal …