Geometrically exact elastoplastic rods: determination of yield surface in terms of stress resultants

Herrnböck L, Kumar A, Steinmann P (2021)

Publication Type: Journal article

Publication year: 2021

Journal

Computational Mechanics Springer Verlag (Germany)

DOI: 10.1007/s00466-020-01957-4

Abstract

This work addresses the determination of yield surfaces for geometrically exact elastoplastic rods. Use is made of a formulation where the rod is subjected to an uniform strain field along its arc length, thereby reducing the elastoplastic problem of the full rod to just its cross-section. By integrating the plastic work and the stresses over the rod’s cross-section, one then obtains discrete points of the yield surface in terms of stress resultants. Eventually, Lamé curves in their most general form are fitted to the discrete points by an appropriate optimisation method. The resulting continuous yield surfaces are examined for their scalability with respect to cross-section dimensions and also compared with existing analytical forms of yield surfaces.

Authors with CRIS profile

Ludwig Herrnböck Lehrstuhl für Technische Mechanik Paul Steinmann Lehrstuhl für Technische Mechanik

Related research project(s)

Mesoscopic modelling and simulation of properties of additively manufactured metallic parts (C5) (SFB 814 (C5)) CRC 814 - Additive Manufacturing (SFB 814) July 1, 2019 - June 30, 2023

Involved external institutions

Indian Institute of Technology (IIT), Delhi IN India (IN)

How to cite

APA:

Herrnböck, L., Kumar, A., & Steinmann, P. (2021). Geometrically exact elastoplastic rods: determination of yield surface in terms of stress resultants. Computational Mechanics. https://dx.doi.org/10.1007/s00466-020-01957-4

MLA:

Herrnböck, Ludwig, Ajeet Kumar, and Paul Steinmann. "Geometrically exact elastoplastic rods: determination of yield surface in terms of stress resultants." Computational Mechanics (2021).

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