An Adaptive Dynamic Relaxation Method for Static Problems

Computational Mechanics ’86 ◽

10.1007/978-4-431-68042-0_43 ◽

1986 ◽

pp. 327-339

Author(s):

Pin Tong

Keyword(s):

Relaxation Method ◽

Dynamic Relaxation ◽

Adaptive Dynamic ◽

Dynamic Relaxation Method

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Simulation of micro-scale shear bands using peridynamics with an adaptive dynamic relaxation method

International Journal of Solids and Structures ◽

10.1016/j.ijsolstr.2017.10.019 ◽

2018 ◽

Vol 130-131 ◽

pp. 36-48 ◽

Author(s):

J. Luo ◽

A. Ramazani ◽

V. Sundararaghavan

Keyword(s):

Shear Bands ◽

Relaxation Method ◽

Dynamic Relaxation ◽

Micro Scale ◽

Adaptive Dynamic ◽

Dynamic Relaxation Method ◽

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An adaptive dynamic relaxation method for nonlinear problems

Computers & Structures ◽

10.1016/0045-7949(88)90117-4 ◽

1988 ◽

Vol 30 (4) ◽

pp. 855-859 ◽

Author(s):

Qiang Shizhong

Keyword(s):

Nonlinear Problems ◽

Relaxation Method ◽

Dynamic Relaxation ◽

Adaptive Dynamic ◽

Dynamic Relaxation Method

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An adaptive dynamic relaxation method for quasi-static simulations using the peridynamic theory

Theoretical and Applied Fracture Mechanics ◽

10.1016/j.tafmec.2010.08.001 ◽

2010 ◽

Vol 53 (3) ◽

pp. 194-204 ◽

Author(s):

B. Kilic ◽

E. Madenci

Keyword(s):

Relaxation Method ◽

Dynamic Relaxation ◽

Adaptive Dynamic ◽

Peridynamic Theory ◽

Dynamic Relaxation Method

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An adaptive dynamic relaxation method for static problems

Computational Mechanics ◽

10.1007/bf00277697 ◽

1986 ◽

Vol 1 (2) ◽

pp. 127-140 ◽

Author(s):

P. Tong

Keyword(s):

Relaxation Method ◽

Dynamic Relaxation ◽

Adaptive Dynamic ◽

Dynamic Relaxation Method

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An adaptive dynamic relaxation method for solving nonlinear finite element problems. Application to brain shift estimation

International Journal for Numerical Methods in Biomedical Engineering ◽

10.1002/cnm.1407 ◽

2011 ◽

Vol 27 (2) ◽

pp. 173-185 ◽

Author(s):

Grand Roman Joldes ◽

Adam Wittek ◽

Karol Miller

Keyword(s):

Finite Element ◽

Relaxation Method ◽

Nonlinear Finite Element ◽

Brain Shift ◽

Dynamic Relaxation ◽

Adaptive Dynamic ◽

Dynamic Relaxation Method

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Modified adaptive Dynamic Relaxation method and its application to elastic-plastic bending and wrinkling of circular plates

Computers & Structures ◽

10.1016/0045-7949(89)90035-7 ◽

1989 ◽

Vol 33 (2) ◽

pp. 609-614 ◽

Author(s):

L.G. Zhang ◽

T.X. Yu

Keyword(s):

Relaxation Method ◽

Circular Plates ◽

Dynamic Relaxation ◽

Plastic Bending ◽

Adaptive Dynamic ◽

Elastic Plastic ◽

Dynamic Relaxation Method

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Improving the convergence rate of kinetic dynamic relaxation method with new R-point

Engineering With Computers ◽

10.1007/s00366-021-01410-x ◽

2021 ◽

Author(s):

Javad Alamatian

Keyword(s):

Convergence Rate ◽

Relaxation Method ◽

Dynamic Relaxation ◽

Dynamic Relaxation Method

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Buckling analysis of CNTRC plates in the thermal environment based on combination of the incremental load technique and dynamic relaxation method

International Journal for Computational Methods in Engineering Science and Mechanics ◽

10.1080/15502287.2021.1882615 ◽

2021 ◽

pp. 1-17

Author(s):

M. E. Golmakani ◽

M. Esmaeilzadeh ◽

M. Sadeghian ◽

V. Zeighami

Keyword(s):

Thermal Environment ◽

Relaxation Method ◽

Buckling Analysis ◽

Dynamic Relaxation ◽

Dynamic Relaxation Method

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Fictitious Time Step for the Kinetic Dynamic Relaxation Method

Mechanics of Advanced Materials and Structures ◽

10.1080/15376494.2012.699603 ◽

2014 ◽

Vol 21 (8) ◽

pp. 631-644 ◽

Author(s):

M. Rezaiee-Pajand ◽

H. Rezaee

Keyword(s):

Relaxation Method ◽

Dynamic Relaxation ◽

Time Step ◽

Dynamic Relaxation Method

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Dynamic-relaxation solution for the large deflection of plates with specified boundary stresses

Journal of Strain Analysis ◽

10.1243/03093247v042075 ◽

1969 ◽

Vol 4 (2) ◽

pp. 75-80 ◽

Author(s):

K R Rushton

Keyword(s):

Large Deflection ◽

Relaxation Method ◽

Plane Boundary ◽

Dynamic Relaxation ◽

Simply Supported ◽

Relaxation Solution ◽

Von Kármán Equations ◽

Mesh Spacing ◽

Dynamic Relaxation Method

The von Kármán equations for the large deflection of plates are solved by the dynamic-relaxation method. Detailed results are presented for square plates having simply supported edges with zero in-plane boundary stresses. The results show that high stresses occur towards the corners of the plates. The mesh effect is investigated and recommendations are made for the optimum mesh spacing.

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