Nonlinear, finite deformation, finite element analysis

N Nguyen, AM Waas - Zeitschrift für angewandte Mathematik und Physik, 2016 - Springer
The roles of the consistent Jacobian matrix and the material tangent moduli, which are used
in nonlinear incremental finite deformation mechanics problems solved using the finite …

Modeling damage growth using the crack band model; effect of different strain measures

W Xu, AM Waas - Engineering Fracture Mechanics, 2016 - Elsevier
The crack band model of Bazant and Oh (1983), referred to as the CBBO, is frequently used
in material damage and softening analysis. Care should be taken in the implementation of …

Analysis of Hooke-like isotropic hypoelasticity models in view of applications in FE formulations

SN Korobeynikov - Archive of Applied Mechanics, 2020 - Springer
This paper presents an analysis of the constitutive relations of Hooke-like isotropic
hypoelastic material models in Lagrangian and Eulerian forms generated using corotational …

Energy-conservation error due to use of Green–Naghdi objective stress rate in commercial finite-element codes and its compensation

ZP Bažant, J Vorel - Journal of Applied Mechanics, 2014 - asmedigitalcollection.asme.org
The objective stress rates used in most commercial finite element programs are the
Jaumann rate of Kirchhoff stress, Jaumann rates of Cauchy stress, or Green–Naghdi rate …

Review of energy conservation errors in finite element softwares caused by using energy-inconsistent objective stress rates

J Vorel, ZP Bažant - Advances in Engineering Software, 2014 - Elsevier
The paper briefly summarizes the theoretical derivation of the objective stress rates that are
work-conjugate to various finite strain tensors, and then briefly reviews several practical …

How to Realize Volume Conservation During Finite Plastic Deformation

H Wang, DJ Jiang, LY Zhang… - Journal of Applied …, 2017 - asmedigitalcollection.asme.org
Volume conservation during plastic deformation is the most important feature and should be
realized in elastoplastic theories. However, it is found in this paper that an elastoplastic …

Automatic Design Assessment and Smart Analysis

B Steingrimsson, B Phan, K Yi, E Smith… - US Patent App. 17 …, 2023 - Google Patents
ABET expects the documented learning outcomes, that are mentioned above, and that
support the program educational objectives, to apply to individual students. Assuming that …

Volume conservation during finite plastic deformation

HL Wang, DJ Jiang, LY Zhang, B Liu - arXiv preprint arXiv:1607.06885, 2016 - arxiv.org
An elastoplastic theory is not volume conserved if it improperly sets an arbitrary plastic strain
rate tensor to be deviatoric. This paper discusses how to rigorously realize volume …

[PDF][PDF] Energy-Conservation Error Due to Use of Green–Naghdi Objective Stress Rate in Commercial Finite-Element Codes and Its Compensation

J Vorel - Citeseer
The objective stress rates used in most commercial finite element programs are the
Jaumann rate of Kirchhoff stress, Jaumann rates of Cauchy stress, or Green–Naghdi rate …