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<p>In this paper a new Lode dependence will be formulated starting from the well known hexagonal section of the Mohr-Coulomb criterion. On the basis of a previous formulation, the new deviatoric function will provide different shapes depending on the rounding portion of curves introduced to remove the singularity of first and second derivatives in the corners of Mohr-Coulomb criterion. The resulting <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(C^2\)</EquationSource> <EquationSource Format="MATHML"><math> <msup> <mi>C</mi> <mn>2</mn> </msup> </math></EquationSource> </InlineEquation> continuous function has very simple expressions of first and second derivatives and then is very easy to implement. What was a simple tool to round the corners of the Mohr-Coulomb deviatoric section is then transformed to a flexible Lode dependence. Comparison with experimental data highlights the effectiveness of the formulation.</p>

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Lode dependence incorporating the Mohr-Coulomb deviatoric section

  • 期刊论文

  • 发表日期：

    2025年11月5日

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  • Giuseppe Mortara

摘要

In this paper a new Lode dependence will be formulated starting from the well known hexagonal section of the Mohr-Coulomb criterion. On the basis of a previous formulation, the new deviatoric function will provide different shapes depending on the rounding portion of curves introduced to remove the singularity of first and second derivatives in the corners of Mohr-Coulomb criterion. The resulting \(C^2\) C 2 continuous function has very simple expressions of first and second derivatives and then is very easy to implement. What was a simple tool to round the corners of the Mohr-Coulomb deviatoric section is then transformed to a flexible Lode dependence. Comparison with experimental data highlights the effectiveness of the formulation.