Elastoplastic state of a rod with allowance for the loading path and real scalar properties of the material

1983 ◽  
Vol 15 (9) ◽  
pp. 1196-1200
Author(s):  
N. S. Mozharovskii ◽  
V. A. Kolodezhnyi ◽  
K. N. Rudakov
Keyword(s):  
Loading Path ◽  
Elastoplastic State ◽  
Real Scalar ◽  
Scalar Properties

scholarly journals Fully Implicit Stress Update Algorithm for Distortion−Based Anisotropic Hardening with Cross−Loading Effect: Comparative Algorithmic Study and Application to Large−Size Forming Problem

2021 ◽  
Vol 11 (12) ◽  
pp. 5509
Author(s):  
Hongjin Choi ◽  
Seonghwan Choi ◽  
Soo-Chang Kang ◽  
Myoung-Gyu Lee
Keyword(s):  
Predictive Accuracy ◽  
Large Strain ◽  
Implicit Scheme ◽  
Loading Path ◽  
Plastic State ◽  
Loading Conditions ◽  
Integration Algorithm ◽  
Implicit Algorithm ◽  
Fully Implicit ◽  
Large Size

A fully implicit stress integration algorithm is developed for the distortional hardening model, namely the e−HAH model, capable of simulating cross−hardening/softening under orthogonal loading path changes. The implicit algorithm solves a complete set of residuals as nonlinear functions of stress, a microstructure deviator, and plastic state variables of the constitutive model, and provides a consistent tangent modulus. The number of residuals is set to be 20 or 14 for the continuum or shell elements, respectively. Comprehensive comparison programs are presented regarding the predictive accuracy and stability with different numerical algorithms, strain increments, material properties, and loading conditions. The flow stress and r−value evolutions under reverse/cross−loading conditions prove that the algorithm is robust and accurate, even with large strain increments. By contrast, the cutting−plane method and partially implicit Euler backward method, which are characterized by a reduced number of residuals, result in unstable responses under abrupt loading path changes. Finally, the algorithm is implemented into the finite element modeling of large−size, S−rail forming and the springback for two automotive steel sheets, which is often solved by a hybrid dynamic explicit–implicit scheme. The fully implicit algorithm performs well for the whole simulation with the solely static implicit scheme.

scholarly journals First-order formalism for twinlike models with several real scalar fields

2014 ◽  
Vol 74 (2) ◽  
Author(s):  
D. Bazeia ◽  
A. S. Lobão ◽  
L. Losano ◽  
R. Menezes
Keyword(s):  
Scalar Fields ◽  
First Order ◽  
Real Scalar

Experimental Analysis and Crystallographic Model of Plastic Deformation after a Change of Loading Path in Mild Steel Polycrystals

1999 ◽  
Vol 578 ◽  
Author(s):  
T. Hoc ◽  
C. Rey
Keyword(s):  
Plastic Deformation ◽  
Mild Steel ◽  
Strain Localization ◽  
Loading Path ◽  
Slip Systems ◽  
Finite Element Code ◽  
Dislocation Densities ◽  
Dislocation Interactions ◽  
Sequential Tests ◽  
Microstructural Anisotropy

AbstractStrain localization in mild steel submitted to a sequential loading paths is investigated at macroscopic, mesoscopic and microscopic scales. The experimental results demonstrate that the morphology of the localization and the nominal load-displacement curves depend on the microstructural anisotropy. A crystalline model using a finite element code is proposed. The anisotropy is described by a hardening matrix whose terms correspond to dislocation-dislocation interactions and depend on the evolution of the dislocation densities on the activated slip systems during the sequential tests. The strain localization predicted by this model fits with the experimental observation and allows us to assume that localization is correlated to the saturation on the activated slip systems.

Scalar properties of Japanese and English sense-based minimizers

2021 ◽  
Vol 6 (1) ◽  
pp. 433
Author(s):  
Osamu Sawada
Keyword(s):  
Distribution Patterns ◽  
Small Degree ◽  
Conventional Implicature ◽  
Personal Taste ◽  
Low Degree ◽  
The Senses ◽  
Scalar Properties ◽  
The Relationship

The Japanese minimizers kasukani ‘faintly’ and honokani ‘approx. faintly’ and the English minimizer faintly are similar to typical minimizers, such as the Japanese sukoshi ‘a bit’ and English a bit, in that they semantically represent a low degree. However, their meanings and distribution patterns are not the same. I argue that kasukani, honokani, and faintly are sense-based minimizers in that they not only semantically denote a small degree but also convey that thejudge (typically the speaker) measures degree based on his/her own sense ( the senses of sight, smell, taste, etc.) at the level of conventional implicature (CI) (e.g., Grice 1975; Potts 2005; McCready 2010; Gutzmann 2011). It will be shown that this characteristic restricts sense-based minimizers to occur only in a limited environment. This paper also shows that there are variations among the sense-based minimizers with regard to (i) the kind of sense, (ii) the presence/absence of evaluativity, and (iii) the possibility of a combination with an emotive predicate, and will explain them in the non-at-issue domain. In analyzing the meaning of sense-based minimizers, the relationship between a sense-based minimizer and a predicate of personal taste (e.g., Pearson 2013; Ninan 2014; Kennedy & Willer 2019; Willer & Kennedy 2019) will also be discussed.

Creep Behavior of Asphalt Concrete Core Materials in Embankment Dams under a Stepped Loading Path

2021 ◽  
Vol 33 (9) ◽  
pp. 04021233
Author(s):  
Xinfu Xing ◽  
Xibao Rao ◽  
Yuqiang Zou ◽  
Haomin Li ◽  
Liangliang Zhang
Keyword(s):  
Creep Behavior ◽  
Asphalt Concrete ◽  
Loading Path ◽  
Concrete Core ◽  
Embankment Dams ◽  
Core Materials

Projective flatness of a new class of ( α , β ) (\alpha,\beta) -metrics

2019 ◽  
Vol 26 (1) ◽  
pp. 133-139
Author(s):  
Laurian-Ioan Pişcoran ◽  
Vishnu Narayan Mishra
Keyword(s):  
Riemannian Metric ◽  
Real Scalar ◽  
New Class ◽  
Alpha Beta ◽  
Beta 2 ◽  
Projective Flatness ◽  
The Relationship

Abstract In this paper we investigate a new {(\alpha,\beta)} -metric {F=\beta+\frac{a\alpha^{2}+\beta^{2}}{\alpha}} , where {\alpha=\sqrt{{a_{ij}y^{i}y^{j}}}} is a Riemannian metric; {\beta=b_{i}y^{i}} is a 1-form and {a\in(\frac{1}{4},+\infty)} is a real scalar. Also, we investigate the relationship between the geodesic coefficients of the metric F and the corresponding geodesic coefficients of the metric α.

Sign in / Sign up

Export Citation Format

Share Document