Search Results - implicit integration algorithm
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Approximation‐based implicit integration algorithm for the Simo‐Miehe model of finite‐strain inelasticity
ISSN: 0029-5981, 1097-0207Published: Hoboken, USA John Wiley & Sons, Inc 15.11.2024Published in International journal for numerical methods in engineering (15.11.2024)“… Moreover, the integration algorithm strictly preserves the inelastic incompressibility constraint…”
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Novel Implicit Integration Algorithms With Identical Second‐Order Accuracy and Flexible Dissipation Control for First‐Order Transient Problems
ISSN: 0029-5981, 1097-0207Published: Hoboken, USA John Wiley & Sons, Inc 15.02.2025Published in International journal for numerical methods in engineering (15.02.2025)“… for formulating implicit integration algorithms but also leverages the auxiliary variable and the composite sub‐step technique to propose two distinct types of implicit integration algorithms…”
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An implicit integration algorithm based on invariants for isotropic elasto‐plastic models of the Cosserat continuum
ISSN: 0363-9061, 1096-9853Published: Bognor Regis Wiley Subscription Services, Inc 01.08.2022Published in International journal for numerical and analytical methods in geomechanics (01.08.2022)“… The integration algorithm is suitable for yield and plastic potential surfaces with general shape in the deviatoric plane…”
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Three optimal families of three‐sub‐step dissipative implicit integration algorithms with either second, third, or fourth‐order accuracy for second‐order nonlinear dynamics
ISSN: 0029-5981, 1097-0207Published: Hoboken, USA John Wiley & Sons, Inc 15.09.2023Published in International journal for numerical methods in engineering (15.09.2023)“…Summary This paper reviews the published composite three‐sub‐step implicit algorithms all of which adopt the trapezoidal rule in the first sub‐step…”
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Elastic–viscoplastic implicit integration algorithm applicable to both plane stress and three-dimensional stress states
ISSN: 0168-874X, 1872-6925Published: Elsevier B.V 01.02.2016Published in Finite elements in analysis and design (01.02.2016)“…An elastic–viscoplastic implicit integration algorithm applicable to both plane stress and three-dimensional stress states is developed for a general class of combined nonlinear kinematic…”
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Trust‐region based return mapping algorithm for implicit integration of elastic‐plastic constitutive models
ISSN: 0029-5981, 1097-0207Published: Bognor Regis Wiley Subscription Services, Inc 19.10.2017Published in International journal for numerical methods in engineering (19.10.2017)“… Specifically, the trust‐region method that has been developed in the numerical optimization community is successfully modified for use in implicit integration of elastic‐plastic models…”
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A fully convex reformulation of the original Matsuoka-Nakai failure criterion and its implicit numerically efficient integration algorithm
ISSN: 0363-9061, 1096-9853Published: Chichester Blackwell Publishing Ltd 25.04.2014Published in International journal for numerical and analytical methods in geomechanics (25.04.2014)“…SUMMARYThis paper presents a reformulation of the original Matsuoka–Nakai criterion for overcoming the limitations which make its use in a stress point algorithm problematic…”
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A Newton-Krylov-based implicit integration algorithm for single and multisurface plasticity
ISSN: 0045-7949Published: Elsevier Ltd 01.09.2025Published in Computers & structures (01.09.2025)“…•Development of a Jacobian-free Newton-Krylov algorithm for implicit plasticity model integration…”
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Directly self-starting higher-order implicit integration algorithms with flexible dissipation control for structural dynamics
ISSN: 0045-7825, 1879-2138Published: Amsterdam Elsevier B.V 01.02.2022Published in Computer methods in applied mechanics and engineering (01.02.2022)“…An implicit family of composite s-sub-step integration algorithms is developed in this paper…”
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An improved implicit time integration algorithm: The generalized composite time integration algorithm
ISSN: 0045-7949, 1879-2243Published: New York Elsevier Ltd 01.02.2018Published in Computers & structures (01.02.2018)“… Newly developed time integration schemes are combined to obtain a new second-order accurate implicit time integration algorithm whose computational structure is similar to the Bathe method (Bathe and Noh, 2012…”
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High-order accurate multi-sub-step implicit integration algorithms with dissipation control for hyperbolic problems
ISSN: 0939-1533, 1432-0681Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.08.2024Published in Archive of applied mechanics (1991) (01.08.2024)“…This paper proposes an implicit family of sub-step integration algorithms grounded in the explicit singly diagonally implicit Runge–Kutta (ESDIRK) method…”
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An Implicit Integration Algorithm for Non-smooth Dynamic Models Based on Linear Complementarity Problems
ISSN: 2193-567X, 1319-8025, 2191-4281Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.12.2021Published in Arabian journal for science and engineering (2011) (01.12.2021)“… To reduce the difficulty of this model’s application and to improve its calculation accuracy, an implicit integration algorithm is proposed in this paper to solve non-smooth dynamic models more effectively…”
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Analysis of implicit HHT-α integration algorithm for real-time hybrid simulation
ISSN: 0098-8847, 1096-9845Published: Chichester, UK John Wiley & Sons, Ltd 25.04.2012Published in Earthquake engineering & structural dynamics (25.04.2012)“…‐time hybrid simulation. The implicit HHT α‐algorithm is a popular integration algorithm for conducting structural dynamic time history analysis because of its desirable properties of unconditional stability for linear elastic structures…”
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Extended overstress model and its implicit stress integration algorithm: Formulations, experiments, and simulations
ISSN: 0029-5981, 1097-0207Published: Hoboken, USA John Wiley & Sons, Inc 15.01.2022Published in International journal for numerical methods in engineering (15.01.2022)“…The extended overstress model is formulated based on the subloading surface model with the smooth elastic‐inelastic transition, which is called the…”
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Complete implicit stress integration algorithm with extended subloading surface model for elastoplastic deformation analysis
ISSN: 0029-5981, 1097-0207Published: Hoboken, USA John Wiley & Sons, Inc 15.03.2020Published in International journal for numerical methods in engineering (15.03.2020)“… It is expected that elastoplastic deformation analyses can be performed with high accuracy and efficiency by the complete implicit stress integration algorithm with a return‐mapping projection…”
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Approaches to improve the convergence and efficiency of the implicit stress integration algorithm for the unified hardening model
ISSN: 0266-352X, 1873-7633Published: Elsevier Ltd 01.02.2024Published in Computers and geotechnics (01.02.2024)“…) is used to do the stress integration in the finite element analysis. A package of approaches is proposed to improve the convergence and efficiency of the algorithm…”
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An unconditionally stable implicit time integration algorithm: Modified quartic B-spline method
ISSN: 0045-7949, 1879-2243Published: Elsevier Ltd 01.06.2015Published in Computers & structures (01.06.2015)“…•Proposing an implicit unconditionally stable time integration method.•Using quartic B-spline basis function…”
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18
Elastoplastic implicit integration algorithm applicable to both plane stress and three-dimensional stress states
ISSN: 0168-874X, 1872-6925Published: Elsevier B.V 01.04.2013Published in Finite Elements in Analysis and Design (01.04.2013)“…An elastoplastic implicit integration algorithm applicable to both plane stress and three-dimensional stress states is developed for a general class of combined nonlinear kinematic…”
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A truly self-starting implicit family of integration algorithms with dissipation control for nonlinear dynamics
ISSN: 0924-090X, 1573-269XPublished: Dordrecht Springer Netherlands 01.12.2020Published in Nonlinear dynamics (01.12.2020)“…In this paper, a novel implicit family of composite two sub-step algorithms with controllable dissipations is developed to effectively solve nonlinear structural dynamic problems…”
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An implicit integration algorithm for the finite element implementation of a nonlinear anisotropic material model including hysteretic nonlinearity
ISSN: 0045-7825Published: Amsterdam Elsevier 22.12.2000Published in Computer methods in applied mechanics and engineering (22.12.2000)“… The paper introduces a new form of fully implicit local and global algorithms for the integration of nonlinear elastoplastic constitutive laws including anisotropic plasticity and hysteretic small…”
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