Introduction to Nonlinear Finite Element Analysis

By Nam-Ho Kim. 2014

517 citations recorded by the source corpus.

Subfields: Civil and Structural Engineering

View Paper: https://www.semanticscholar.org/paper/332be7855705645950021cc52612e4d1421ff2b2

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In Civil and Structural Engineering

Citations in the corpus

Geometrically nonlinear isogeometric analysis of functionally graded microplates with the modified couple stress theory (2017, background): “Meanwhile, assuming that the rotations of the transverse normals are moderate, the terms of derivatives of transverse displacement, (w,x) 2 , (w,y) 2 , w,xw,y, are small but not negligible [62].”
Modeling Strategies for the Computational Analysis of Unreinforced Masonry Structures: Review and Classification (2019, methodology): “Among the most famous iterative implicit procedures are: the Picard iteration (or direct iteration) method, the Newton–Raphson iteration methods, and the Riks methods (the interested reader is referred to [38] for more information about iterative procedures).”
Micromechanics based second gradient continuum theory for shear band modeling in cohesive granular materials following damage elasticity (2012, background): “(60) was satisfied (Reddy, 2004) ffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffi PN I1⁄41 u ðrÞ I u ðr 1Þ I 2”
Geometrically Non-Linear Rapid Heating of Temperature-Dependent Circular FGM Plates (2014, methodology): “Details on the process of the Crank–Nicolson method are available in [31].”
A gradient-enhanced damage model coupled to plasticity—multi-surface formulation and algorithmic concepts (2018, methodology): “Following standard finite element procedures (Hughes, 2000; Reddy, 2004; Wriggers, 2008), the domain of the material body B is spatially discretized by nel finite elements, such that B B 1⁄4 Snel e1⁄41 B .”
Dynamic Nonlinear Aeroelastic Model of a Kite for Power Generation (2014, methodology): “In total, the FE model comprises 107 beam elements, 360 shell elements, 222 nodes and 1332 DOF.”
Nonlinear static and transient isogeometric analysis of functionally graded microplates based on the modified strain gradient theory (2017, methodology): “Specifications of those boundary conditions are retrieved from [59, 61] and expressed below: SSSS1 u = θx = w = 0 at y = 0 and y = b (32a) v = θy = w = 0 at x = 0 and x = a (32b) SSSS3 u = v = w = 0 at all edges (33) CCCC u = v = θx = θy = w = ∂w ∂x = 0 at x = 0 and x = a (34a)”