A new yield criterion for the concrete materials

TL;DR

This paper introduces a new smooth, convex yield criterion for concrete materials, enhancing damage mechanics modeling with analytical derivatives and validated against biaxial testing data.

Contribution

It presents a novel yield criterion for concrete that is mathematically robust, analytically differentiable, and applicable to damage mechanics, with a detailed identification procedure.

Findings

Yield surface aligns with Kupfer's biaxial test results

Criterion is smooth and convex under simple conditions

Analytical gradient and Hessian provided for modeling

Abstract

The proposed yield criterion depends upon two material constants and is proven to be smooth and convex under a simple condition. These properties induce a mathematical robustness that allows a further use in a damage mechanics model. The analytical gradient and hessian are given. The obtained yield surface is relevant to Kupfer's biaxial testings on concrete. The identification procedure, with respect to the classical uniaxial tension and compression testings, is detailed.