The Stress Field in a Flexed Beam with an Elastoviscoplastic Behavior

Abstract:

The flexion solicitation induces in a bent beam a non-uniform stress field. The problem becomes more challenging when the material has a complex behavior, because the material may have different response from one area to another according to the local stress state. In the present work, it is considered, a six parameters rheological model to simulate the behavior of an elastoviscoplastic material. The mathematical law of the behavior is established; thereafter one must determine the beam bending curvature which is an essential and capital parameter for the flexion. Indeed, the bending curvature allows knowing the stress field in the beam. In viscoelastic step, the curvature is obtained by an analytical integration. While in the elastoviscoplastic step, two zones of different behaviors coexist which are namely viscoelastic and elastoviscoplastic, then a numerical integration is required. The numerical integration is achieved, and then the stress field is obtained through the beam and over the time.

• Periodical: Advanced Materials Research (Volume 856)
• Pages: 373-378
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.856.373
• Online since: December 2013
• Authors: Hadid Mohamed, Younès Saadallah, Bahri Mebarak
• Keywords: Behavior, Bending Curvature, Elastoviscoplastic, Flexion, Rheological Model

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