Abstract
Proposal of a class of smooth functions describing shape of the deviatoric section of the failure surface of isotropic materials is given. Their convexity is investigated and the resultant restrictions to the free parameters are derived. Applications to pressure sensitive or insensitive materials as yield criteria are shown. Discussion of calibration of material parameters is carried out and dependence of the failure surface on the shear-to-axial yield stress ratio is demonstrated.
Highlights
Each phenomenon of yielding, damage or failure of materials, including cast iron, porous metals, metallic foams is quite complex and is the subject of an intense research
Behaviour of the mentioned materials depends on the first and third (Lode dependence) stress invariants
To formulate mathematical models for the aforementioned phenomena an approach based on the yield, damage or failure criteria is used, predominantly relying upon the experimental evidence of material behaviour
Summary
Damage or failure of materials, including cast iron, porous metals, metallic foams is quite complex and is the subject of an intense research. To formulate mathematical models for the aforementioned phenomena an approach based on the yield, damage or failure criteria is used, predominantly relying upon the experimental evidence of material behaviour. In the present article proposal of new functions describing shape of the deviatoric section of the failure surface is given. The regarded shape functions used for formulation of the criteria preserve smoothness and convexity of the yield surface. They can be included in the constitutive models of materials in which apexes or intersection corners exist, for example in case of the Drucker-Prager yield surface. Excellent review of the shape functions for deviatoric section is given in [1]. This paper reports further development of that type of shape functions
Sign-in/Register to view highlights & summary Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
