[HTML][HTML] On natural strain measures of the non-linear micropolar continuum

W Pietraszkiewicz, VA Eremeyev - International Journal of Solids and …, 2009 - Elsevier
We discuss three different ways of defining the strain measures in the non-linear micropolar
continuum:(a) by a direct geometric approach,(b) considering the strain measures as the …

Elastoplasticity beyond small deformations

H Xiao, OT Bruhns, A Meyers - Acta mechanica, 2006 - Springer
This article is concerned with some essential aspects of representative ideas and viewpoints
as well as developments in formulations of rate-independent elastoplasticity beyond the …

Hencky strain and Hencky model: extending history and ongoing tradition

H Xiao - Multidiscipline Modeling in Materials and Structures, 2005 - emerald.com
A finite strain measure and a Hookean type finite hyperelastic model based on it were
introduced by H. Hencky (1928, 1929) about seventy‐five years ago. About tweenty‐five …

Electrodynamics from the viewpoint of modern continuum theory—A review

WH Müller, EN Vilchevskaya… - ZAMM‐Journal of …, 2023 - Wiley Online Library
This paper wants to draw attention to several issues in electrodynamic field theory and to
make way for a rational continuum approach to the subject. The starting point are the …

Phenomenological improvements to predictive models of fiber orientation in concentrated suspensions

HC Tseng, RY Chang, CH Hsu - Journal of Rheology, 2013 - pubs.aip.org
The standard Folgar-Tucker (FT) orientation equation is a useful method for theoretically
determining isotropic fiber orientation in concentrated suspensions. However, when …

A geometrically exact micromorphic model for elastic metallic foams accounting for affine microstructure. Modelling, existence of minimizers, identification of moduli …

P Neff, S Forest - Journal of Elasticity, 2007 - Springer
We investigate a geometrically exact generalized continua of micromorphic type in the
sense of Eringen for the phenomenological description of metallic foams. The two-field …

[图书][B] Introduction to the foundations of applied mathematics

MH Holmes - 2009 - Springer
Before beginning the material on dimensional analysis, it is worth considering a simple
example that demonstrates what we are doing. One that qualifies as simple is the situation of …

Analysis of some basic approaches to finite strain elasto-plasticity in view of reference change

AV Shutov, J Ihlemann - International Journal of Plasticity, 2014 - Elsevier
There is a large variety of concepts used to generalize the classical Prandtl–Reuss relations
of infinitesimal elasto-plasticity to finite strains. In this work, some basic approaches are …

An objective tensor to predict anisotropic fiber orientation in concentrated suspensions

HC Tseng, RY Chang, CH Hsu - Journal of Rheology, 2016 - pubs.aip.org
The improved anisotropic rotary diffusion (iARD) model was previously regarded as a
suitable description of anisotropic orientation states for long fibers in concentrated …

Existence of minimizers for a finite-strain micromorphic elastic solid

P Neff - Proceedings of the Royal Society of Edinburgh Section …, 2006 - cambridge.org
We investigate geometrically exact generalized continua of micromorphic type in the sense
of Eringen. The two-field problem for the macrodeformation φ and the affine …