Objectivity and Objective (Rate) Tensors

Author(s):  
Koichi Hashiguchi
Keyword(s):  
1938 ◽  
Vol 4 (4) ◽  
pp. 488
Author(s):  
Clarence E. Kuhlman ◽  
William F. Kennedy

2011 ◽  
Vol 15 (4) ◽  
pp. 991-998 ◽  
Author(s):  
Roger E. Khayat ◽  
◽  
Martin Ostoja-Starzewski ◽  

Author(s):  
Marina Trajkovic-Milenkovic ◽  
Otto Bruhns

In elastoplasticity formulation constitutive relations are usually given in rate form, i.e. they represent relations between stress rate and strain rate. The adopted constitutive laws have to stay independent in relation to the change of frame of reference, i.e. to stay objective. While the objectivity requirement in a material description is automatically satisfied, in an Eulerian description, especially in the case of large deformations, the objectivity requirement can be violated even for objective quantities. Thus, instead of a material time derivative in the Eulerian description objective time derivatives have to be implemented. In this work the importance of the objective rate implementation in the constitutive relations of finite elastoplasticity is clarified. Likewise, it shows the overview of the most frequently used objective rates nowadays, their advantages and shortcomings, as well as the distinctive features of the recently introduced logarithmic rate.


2009 ◽  
Vol 27 (15_suppl) ◽  
pp. 1538-1538
Author(s):  
J. Viguier ◽  
A. Calazel Benque ◽  
M. Mahjoubi ◽  
X. Pivot ◽  
J. Morère ◽  
...  

1538 Background: In France, after a pilot population-based screening program in 23 districts (2002–2003), a national organized program was progressively implemented starting in 2005. The EDIFICE 2 survey was conducted in 2008, 3 years after EDIFICE 1, to provide a better understanding of French people's participation in colorectal screening programs and to assess the evolution between the two periods. Methods: This second nationwide observational study, EDIFICE 2, was conducted in January 2008 among a representative sample of 1,801 subjects aged between 40 and 85 years old. The analysis focused on the target population of the national screening program (50–74 years old). Results: In 2008, 38% of subjects between 50 and 74 years (N = 928) had undergone a screening test for colorectal cancer (including fecal test or colonoscopy) versus 25% in 2005 (p < 0.05); 32% of the unscreened population (N = 575) planned to undergo a test. Colorectal cancer screening increased significantly in all age groups, especially between 65 and 69 years, and for both sexes. A most significant increase can be observed in districts with pilot programme (+ 21%). Factors influencing the probability of screening were: being encouraged by the family circle, living in a couple, the existence of a case of cancer (especially colorectal cancer) in the family circle, and fear of colorectal cancer. The main reasons for not performing the screening were: not feeling concerned, no recommendation by the GP, carelessness, no symptoms, and fear of exams or results. Conclusions: The objective rate of participation (50%), can be reached by motivating the unscreened population already planning to perform a test. The results in the pilot districts show the effectiveness of an organization of the screening. This trend of increasing testing will probably be confirmed in the future if the reasons for non-attendance in an organized program are addressed. No significant financial relationships to disclose.


Author(s):  
R. G. Sauve´

Traditionally, the validation of three dimensional constitutive formulations (i.e. theories of plasticity) has been carried out using biaxial testing. The most widely used method for biaxial testing is the combined tension-torsion loading of thin-walled cylindrical specimens. Unfortunately, the results obtained in the past, using the incremental theory to model tension-torsion experiments involving large strains and non-proportional loading paths, are not always in agreement with observations. Two possible sources of error lie in: (i) the particular objective rate chosen for the constitutive equation, and (ii) the kinematic hardening model used to account for material anisotropy. In this study, it is demonstrated that an appropriate choice of objective stress rate can lead to improved correlation between analytical and experimental results even with the use of a simple kinematic hardening law. The evaluation is carried out using non-proportional tension-torsion loading of a thin tube. The purpose of this paper is to review the objective E-rate formulation against alternative rate formulations and demonstrate its advantage in problems involving elastic-plastic and non-proportional loading, through the finite deformation solution of tension followed by torsional loading of a thin tube. Details of the analytical thin tube solution of non-proportional tension torsion loading generalized to finite deformation plasticity is presented along with comparison of results to experiments.


Sign in / Sign up

Export Citation Format

Share Document