Geometry of logarithmic strain measures in solid mechanics
We consider the two logarithmic strain measures=||\mathrm dev _n\mathrm log U||=||\mathrm
dev _n\mathrm log F^ TF||\quad and\quad\vol=|\mathrm tr (\mathrm log U)=|\mathrm tr …
dev _n\mathrm log F^ TF||\quad and\quad\vol=|\mathrm tr (\mathrm log U)=|\mathrm tr …
The exponentiated Hencky-logarithmic strain energy. Part I: Constitutive issues and rank-one convexity
We investigate a family of isotropic volumetric-isochoric decoupled strain energies F ↦ W_
eH (F):= W _ eH (U):=\left {μ ke^ k ‖ dev _n U ‖^ 2+ κ 2 ke^ k tr (\log U)^ 2 & if\det F> …
eH (F):= W _ eH (U):=\left {μ ke^ k ‖ dev _n U ‖^ 2+ κ 2 ke^ k tr (\log U)^ 2 & if\det F> …
Major symmetry of the induced tangent stiffness tensor for the Zaremba-Jaumann rate and Kirchhoff stress in hyperelasticity: two different approaches
S Federico, S Holthausen, NJ Husemann… - arXiv preprint arXiv …, 2024 - arxiv.org
We recall in this note that the induced tangent stiffness tensor $\mathbb {H}^{\text {ZJ}} _
{\tau}(\tau) $ appearing in a hypoelastic formulation based on the Zaremba-Jaumann …
{\tau}(\tau) $ appearing in a hypoelastic formulation based on the Zaremba-Jaumann …
Modeling and analysis of nonlinear elastoplastic behavior of compatibilized polyolefin/polyester/clay nanocomposites with emphasis on interfacial interaction …
SMR Paran, M Abdorahimi, A Shekarabi… - … Science and Technology, 2018 - Elsevier
Abstract Analysis of mechanical properties of compatibilized polymer pairs comprising clay
nanoplatelets was the subject of numerous works, however nonlinear elastoplastic behavior …
nanoplatelets was the subject of numerous works, however nonlinear elastoplastic behavior …
Hypo-elasticity, Cauchy-elasticity, corotational stability and monotonicity in the logarithmic strain
P Neff, S Holthausen, MV d'Agostino… - arXiv preprint arXiv …, 2024 - arxiv.org
We combine the rate-formulation for the objective, corotational Zaremba-Jaumann
rate\begin {align}\frac {{\rm D}^{\rm ZJ}}{{\rm D} t}[\sigma]=\mathbb {H}^{\rm ZJ}(\sigma) …
rate\begin {align}\frac {{\rm D}^{\rm ZJ}}{{\rm D} t}[\sigma]=\mathbb {H}^{\rm ZJ}(\sigma) …
The exponentiated Hencky-logarithmic strain energy: part III—coupling with idealized multiplicative isotropic finite strain plasticity
We investigate an immediate application in finite strain multiplicative plasticity of the family of
isotropic volumetric–isochoric decoupled strain energies F ↦ W_\rm eH (F):= W _\rm eH …
isotropic volumetric–isochoric decoupled strain energies F ↦ W_\rm eH (F):= W _\rm eH …
高温数字图像相关法变形测量中玻璃介质误差校正
任明阳， 王立忠， 付白强， 陈仁虹， 邬宏… - 中国光学(中英文 …, 2022 - chineseoptics.net.cn
为了校正玻璃介质在高温变形测量中引起的测量误差, 本文将玻璃介质作为相机标定模型的
一部分, 基于摄影测量技术和数字图像相关法, 提出一种复杂环境下的双目相机标定方法 …
一部分, 基于摄影测量技术和数字图像相关法, 提出一种复杂环境下的双目相机标定方法 …
Rediscovering GF Becker's early axiomatic deduction of a multiaxial nonlinear stress–strain relation based on logarithmic strain
We discuss a completely forgotten work of the geologist GF Becker on the ideal isotropic
nonlinear stress–strain function (Am J Sci 1893; 46: 337–356). Due to the fact that the …
nonlinear stress–strain function (Am J Sci 1893; 46: 337–356). Due to the fact that the …
Incorporation of dynamic strain aging into a viscoplastic self-consistent model for predicting the negative strain rate sensitivity of hadfield steel
B Bal, B Gumus, D Canadinc - Journal of …, 2016 - asmedigitalcollection.asme.org
A new multiscale modeling approach is proposed to predict the contributions of dynamic
strain aging (DSA) and the resulting negative strain rate sensitivity (NSRS) on the unusual …
strain aging (DSA) and the resulting negative strain rate sensitivity (NSRS) on the unusual …
Fourth-order tensor calculus operations and application to continuum mechanics
DC Kellermann, MM Attard… - … and Mechanics of …, 2023 - journals.sagepub.com
This paper provides a presentation of differential calculus involving fourth-order tensors in
consideration of the cyclic class-based tensor operations introduced in an earlier paper on …
consideration of the cyclic class-based tensor operations introduced in an earlier paper on …