MODELING OF A LINEAR SOIL-REINFORCEMENT MEMBER AND ITS IMPLEMENTATION INTO A RIGID-PLASTIC FINITE ELEMENT METHOD

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  • 線状補強材の強度異方性を考慮した混合型剛塑性有限要素法の開発

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<p>A rigid plastic finite element method is a numerical tool based on the limit theorem to solve directly the failure mode and its ultimate capacity, such as bearing capacity of shallow foundations. To model a soil-reinforcement effect by linear reinforcement members, the introduction of a constant length condition between two nodes can be found in the literature. In this article, the authors re-investigate this constant length condition and extend it for more general cases. Based on Lagrangian duality theory, a Lagrangian multiplier for this constant length condition can be interpreted as a constraint force between the two nodes. The authors introduce an additional inequality constraint on this Lagrangian multiplier in a hybrid formulation of a rigid plastic finite element method to express finite and anisotropic strength properties of linear reinforcement members. Some numerical examples are presented to demonstrate the ability of the proposed method.</p>

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