scholarly journals Consistent tangent operator for an exact Kirchhoff rod model

2014 ◽  
Vol 27 (4-5) ◽  
pp. 861-877 ◽  
Author(s):  
L. Greco ◽  
M. Cuomo
Keyword(s):  
Tangent Operator ◽  
Kirchhoff Rod ◽  
Rod Model ◽  
Consistent Tangent Operator

Numerical Algorithms for J2 Viscoplastic Models

2012 ◽  
Vol 567 ◽  
pp. 267-274 ◽  
Author(s):  
Fabio de Angelis
Keyword(s):  
Numerical Integration ◽  
Constitutive Models ◽  
Numerical Algorithms ◽  
Computational Results ◽  
Flow Function ◽  
Numerical Schemes ◽  
Tangent Operator ◽  
Viscoplastic Models ◽  
Consistent Tangent Operator ◽  
Algorithmic Procedure

An algorithmic scheme is illustrated for the numerical integration of evolutive problems in viscoplasticity. The analysis is restricted for brevity to J2 models in viscoplasticity by presenting a unified treatment of different elasto/viscoplastic constitutive models. An appropriate consistent tangent operator is applied which is suitable to be adopted for general numerical schemes. The treatment can be applied to different constitutive models by simply specializing the flow function. Computational results and examples are also illustrated in order to show the effectiveness of the presented algorithmic procedure.

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