Consistent tangent operator for cutting-plane algorithm of elasto-plasticity

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• 作者：Bojan Starman ; Miroslav Halilovi膷 ; Marko Vrh ; Boris &Scaron ; tok ; ^{boris.stok@fs.uni-lj.si" class="auth_mail}
• 关键词：Constitutive equations ; Numerical integration ; Consistent tangent operator ; Cutting-plane algorithm ; YLD2004 ; UMAT
• 刊名：Computer Methods in Applied Mechanics and Engineering
• 出版年：15 April, 2014
• 年：2014
• 卷：272
• 期：Complete
• 页码：214-232
• 全文大小：2057 K

文摘

The paper presents a derivation of the consistent tangent operator (CTO) for the cutting-plane algorithm (CPA). For a class of plasticity models that are suitable to be integrated using CPA, an explicit recursive expression is analytically derived and is updated in each iteration of the CPA integration procedure to yield the final value of the CTO when the CPA is converged.