Normality Rule? Plastic Work Extremals and Related Topics

2009 ◽  
pp. 47-59
Author(s):  
Milan V. Mićunović
Keyword(s):  
Plastic Work

A study of indentation work in homogeneous materials

2006 ◽  
Vol 21 (6) ◽  
pp. 1363-1374 ◽  
Author(s):  
Mengxi Tan
Keyword(s):  
Plastic Deformation ◽  
Elastic Modulus ◽  
Elastic Energy ◽  
Size Effects ◽  
Unit Volume ◽  
Plastic Work ◽  
Total Work ◽  
Indentation Size ◽  
Scaling Relationships ◽  
Homogeneous Materials

The work of indentation is investigated experimentally in this article. A method of using the elastic energy to extract the elastic modulus is proposed and verified. Two types of hardness related to the work of indentation are defined and examined: Hwtis defined as the total work required creating a unit volume of contact deformationand Hwp is defined as the plastic work required creating a unit volume of plastic deformation; experiments show that both hardness definitions are good choices for characterizing hardness. Several features that may provide significant insights in understanding indentation measurements are studied. These features mainly concern some scaling relationships in indentation measurements and the indentation size effects.

Realistic hardening-to-softening transition effects of metals over the finite strain range up to failure

2021 ◽  
Vol ahead-of-print (ahead-of-print) ◽  
Author(s):  
Zi-Han Xu ◽  
Lin Zhan ◽  
Si-Yu Wang ◽  
Hui-Feng Xi ◽  
Heng Xiao
Keyword(s):  
Finite Strain ◽  
Plastic Work ◽  
Uniaxial Tensile ◽  
Uniaxial Tensile Test ◽  
Trial And Error ◽  
Content Type ◽  
Transition Effects ◽  
Iterative Procedures ◽  
First Time ◽  
Hardening And Softening

PurposeA new approach is proposed toward accurately matching any given realistic hardening and softening data from uniaxial tensile test up to failure and moreover, toward bypassing usual tedious implicit trial-and-error iterative procedures in identifying numerous unknown parameters.Design/methodology/approachFinite strain response features of metals with realistic hardening-to-softening transition effects up to eventual failure are studied for the first time based on the self-consistent elastoplastic J2-flow model with the logarithmic stress rate. As contrasted with usual approximate and incomplete treatments merely considering certain particular types of hardening effects such as power type hardening, here a novel and explicit approach is proposed to obtain a complete form of the plastic-work-dependent yield strength over the whole hardening and softening range.FindingsA new multi-axial evolution equation for both hardening and softening effects is established in an explicit form. Complete results for the purpose of model validation and prediction are presented for the finite strain responses of monotonic uniaxial stretching up to failure.Originality/valueNew finite strain elastoplastic equations are established with a new history-dependent variable equivalently in place of the usual plastic work. With these equations, a unified and accurate simulation of both gardening and softening effects up to failure is achieved for the first time in an explicit sense without involving usual tedious implicit trial-and-error iterative procedures.

scholarly journals An internal variable theory of elastoplasticity based on the maximum plastic work inequality

1990 ◽  
Vol 48 (1) ◽  
pp. 59-83 ◽  
Author(s):  
R. A. Eve ◽  
B. D. Reddy ◽  
R. T. Rockafellar
Keyword(s):  
Internal Variable ◽  
Plastic Work ◽  
Variable Theory ◽  
Internal Variable Theory

Forces and Plastic Work in Cutting

CIRP Annals ◽  
1983 ◽  
Vol 32 (1) ◽  
pp. 223-227 ◽  
Author(s):  
J.H. Dautzenberg ◽  
J.A.G. Kals ◽  
A.C.H. Van der Wolf
Keyword(s):  
Plastic Work

Numerical Biaxial Tensile Test of Aluminum Alloy Sheets Using Crystal Plasticity Model Implemented in Commercial FEM Software

2016 ◽  
Vol 725 ◽  
pp. 255-260
Author(s):  
Shohei Ochiai ◽  
Akinori Yamanaka ◽  
Toshihiko Kuwabara
Keyword(s):  
Aluminum Alloy ◽  
Tensile Test ◽  
Crystal Plasticity ◽  
Alloy Sheet ◽  
Plastic Work ◽  
Element Analysis ◽  
Material Models ◽  
Biaxial Tensile Test ◽  
Biaxial Tensile ◽  
Material Tests

To improve the accuracy of forming simulations for sheet metal, the use of material models calibrated by multiaxial material tests is essential. Adequate material models can be calibrated on the basis of the contours of equal plastic work obtained by multiaxial material tests. However, because the tests often require special experimental equipment, they are not widely used by the industry. This paper proposes a methodology for a numerical biaxial tensile test that uses ABAQUS, a popular commercial software package for finite element analysis. In numerical tests, an open-source user-defined material model (UMAT) is used to implement crystal plasticity models. In order to validate our methodology, we performed a numerical biaxial tensile test on a 6000-series aluminum alloy sheet, and the results were compared with those of biaxial tensile tests with a cruciform specimen. The results demonstrated that the proposed numerical biaxial tensile test provides a reasonable prediction of stress-strain curves and the contours of equal plastic work.

Evaluation of Plastic Work Density, Strain Energy and Slip Multiplication Intensity at Some Typical Grain Boundary Triple Junctions

2010 ◽  
Vol 654-656 ◽  
pp. 1283-1286 ◽  
Author(s):  
Tetsuya Ohashi ◽  
Michihiro Sato ◽  
Yuhki Shimazu
Keyword(s):  
Grain Boundary ◽  
Grain Boundaries ◽  
Crystal Plasticity ◽  
Strain Energy ◽  
Plastic Work ◽  
Slip Systems ◽  
Triple Junctions ◽  
Plastic Slip ◽  
Boundary Triple

Plastic slip deformations of tricrystals with simplified geometries are numerically analyzed by a FEA-based crystal plasticity code. Accumulation of geometrically necessary (GN) dislocations, distributions of the total slip, plastic work density and GN dislocations on slip systems, as well as some indices for the intensity of slip multiplication are evaluated. Results show that coexistence of GN dislocations on different slip systems is prominent at triple junctions of grain boundaries.

Sign in / Sign up

Export Citation Format

Share Document