Mathematical and numerical analysis in thermo-gradient-dependent theory of plasticity
Type
Articles dans des revues avec comité de lectureDate
2018Journal
Journal of Applied Mathematics and Mechanics (ZAMM)Abstract
In this paper, we develop new governing equations for thermo-gradient-dependent theory of plasticity. They include the coupled effects of thermal elastic-plastic theory, including balance and constitutive equations. To demonstrate the salient feature of the gradient-dependent model of plasticity, particular attention is addressed to isotropic hardening with second sound effects to eliminate the paradox of infinite speed of thermal signals. The resulting system of partial differential equations formally describes the coupled thermomechanical behavior of the gradient-dependent elasto-plastic system. Then, we develop an appropriate state-space form and, by using the semigroup theory, we prove the well-posedness and the exponential stability of the thermo-gradient-dependent elasto-plastic one-dimensional problem. Finally, we perform numerical simulations to validate the proposed model and to show its capability.
Files in this item
- Name:
- ZAMM.pdf
- Size:
- 654.4Kb
- Format:
- Description:
- Article principal
- Embargoed until:
- 2019-01-01
Related items
Showing items related by title, author, creator and subject.
-
AKPAMA, Holanyo K.; BEN BETTAIEB, Mohamed; ABED-MERAIM, Farid (Wiley, 2016)In an incremental formulation suitable to numerical implementation, the use of rate-independent theory of crystal plasticity essentially leads to four fundamental problems. The first is to determine the set of potentially ...
-
GUPTA, Akash; BEN BETTAIEB, Mohamed; ABED-MERAIM, Farid; KALIDINDI, Surya (Elsevier, 2018)The present investigation focuses on the development of a fast and robust numerical tool for the prediction of the forming limit diagrams (FLDs) for thin polycrystalline metal sheets using a Taylor-type (full constraints) ...
-
BEN BETTAIEB, Mohamed; ABED-MERAIM, Farid (ELSEVIER, 2017)In modern sheet metal forming processes, such as hydroforming and single point incremental forming, sheet metals are often subjected to out-of-plane compressive stresses in addition to traditional in-plane stresses. However, ...
-
AKPAMA, Holanyo K.; BEN BETTAIEB, Mohamed; ABED-MERAIM, Farid (Brazilian Society of Mechanical Sciences and Engineering, 2017)The prediction of plastic instability in sheet metals during forming processes represents nowadays an ambitious challenge. To reach this goal, a new numerical approach, based on the loss of ellipticity criterion, is proposed ...
-
BEN BETTAIEB, Mohamed; ABED-MERAIM, Farid; LEMOINE, Xavier (Springer, 2017)A number of parts and components involved in the automotive industry are made of thin bent sheets, which are subjected to out-of-plane compressive stresses in addition to traditional in-plane stresses. Unfortunately, the ...