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Chapter
Source: Guidelines for the Use of Advanced Numerical Analysis, January 2002, pages 58 - 79
  • 5.1 Introduction

  • 5.2 Material non-linearity

  • 5.3 Geometric non-linearity

  • 5.4 Coupled consolidation analysis

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Chapter
Source: Modern Structural Analysis - Modelling Process and Guidance, January 2005, pages 125 - 133
  • 10.1 Introduction

  • 10.2 Modelling for geometric non-linearity

  • 10.3 Critical load analysis of skeletal frames

  • 10.4 Global critical load analysis of building structures

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Article
Authors: DV PHILLIPS, OC ZIENKIEWICZ
Source: ICE Proceedings, Volume 61, Issue 1, March 1976, pages 59 - 88
Proc. Instrz Ciu. Engrs, Part 2, 1976, 61, Mar., 59-88 7865 Finite element non-linearanalysis of concrete structures The non-linear analysis of reinforced concrete structures using finite element techof niquespresented. is Tensile cracking, multiaxial the compressive response concrete and the yielding steel reinforcement the main non-linear effects studied. of are Several models of multiaxial material behaviour, based on experimental data obtainedelsewhere,arediscussed.Isoparametricelements,underplaneandaxisymmetric conditions, are used throughout. Special elements are used to simulate reinforcement,liners,prestressingcablesandjackets.Thesefeatures were incorporated into incremental non-linear finite element programs which embraced both variable and constant stiffness methods of solution...

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Article
Authors: TECHANG LIAUM, KWOKHUNG KWAN
Source: ICE Proceedings, Volume 73, Issue 2, June 1982, pages 441 - 454
Proc. Instn Civ. Engrs, Part 2,1982,13, June, 4 4 1 4 5 4 8577 Non-linear analysis of multistorey infilled frames TE-CHANG LIAUM, DIC. PhD, MICE* KWOK-HUNG KWAN, BSc(Eng)* In this Paper, multistorey infilled frames with or without connectors are analysed by a finite element approach which takes into account non-linearities of the materials and the structural interface between the infill and the frame. Where connectors are provided, the non-linear shear-slip characteristic of the structural interface is accounted for...

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Article
Authors: KI MAJID, MA RAHMAN
Source: ICE Proceedings, Volume 73, Issue 1, March 1982, pages 53 - 84
Proc. Instn Civ. Engrs, Part 2, 1982,73, Mar., 53-84 8497 Non-linear analysis of structuresoil systems K. I. MAJID, PhD, DSc, FICE, FIStructE* M. A. RAHMAN, BSc(Eng), MSc, PhD? A significant feature of a structure andits foundation is that they act as anintegral unit with the supporting soil. The behaviour of such a system is non-linear because of the material properties of the soil and the development of tensile zones and discontinuities during the loading process...

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Article
Authors: Z LIN, M RAOOF
Source: Proceedings of the ICE - Structures and Buildings, Volume 99, Issue 4, November 1993, pages 387 - 401
Non-linear finite strip technique applied to concrete structures Z. Lin, BSc, MSC,and M. Raoof, PhD, DIG An alternative version of non-linear 5nite strip method for concrete structures is presented: unlike the conventional flnite CM handle only those strip models which structures whose geometry does not change in one direction, the newly developed finite strip model can analyse certain structures whose geometry (although, still fairly simple) can change along their length, such as deep beams with local changes of cross-section along their span. Moreover, unlike the conventional finite strip models, the new alternative has the desirable feature of being suitable for incorporating MY desired boundary conditions and different number of harmonica in various strips with minimal effort...

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Article
Authors: DV PHILLIPS, Y BANGASH, OC ZEINKIEWICZ, I DAVIDSON
Source: ICE Proceedings, Volume 61, Issue 4, December 1976, pages 829 - 840
Proe. Insrn Civ. Engrs, Part 2, 1976, 61, Dec., 829-840 7865 DISCUSSION Finite element non-linearanalysis of concrete structures D. V. PHlLLlPS & 0. C. ZlENKlEWlCZ Mr 1. Davidson, F The analysis of non-linear structures demands an iterative solution, as stated by the Authors. In such particular cases there are some advantages to an engineer in using a dynamic relaxation process, because this is iterative in any case. Perhaps the main advantage is that the method is exceedinglysimple, completely avoiding matrix algebra, and demanding only an elementary knowledge of mathematics and computer programming...
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Article
Authors: KI MAJID, MA RAHMAN, LA WOOD
Source: ICE Proceedings, Volume 73, Issue 4, December 1982, pages 827 - 828
Proc. Instn Civ. Engrs, Part 2, 1982, 73, Dec., 827-828 8497 DISCUSSION Non-linear analysis of structure-soil systems K. I . M A J I D & M. A. R A H M A N Dr L. A. Wood, Queen Mary College, University of London My comments relate to the silo complex," used by the Authors as their final example in the Paper, which was also the subject of an independent analysis in 1979." In that analysis the soil was represented as a boundary element coupled to a simple plate bending finite element model of the foundation to the silos...

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Article
Authors: TC LIAUW, KH KWAN, GJW KING, PC PANDEY
Source: ICE Proceedings, Volume 75, Issue 1, March 1983, pages 139 - 140
Proc. Instn Cio. Engrs, Part 2,1983,75, Mar., 139-140 DISCUSSION ON PAPER 8577 Non-linear analysis of multistorey infilled frames Te-Chang Liauw andKwok-Hung Kwan Mr G. J. W. King, University of Liverpool and Dr P. C. Pandey, Nanyang Technical Institute, Singapore With regard to the Authors' comments on the analytical procedure presented in our paper: we concede that therelief of friction at the frame/infill interface due to a reduction of normal stress or separation was not taken into account...

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Article
Authors: RJ COPE, P VASUDEVA RAO
Source: ICE Proceedings, Volume 63, Issue 1, March 1977, pages 159 - 179
Proc. Instn Ciu. Engrs, Part 2, 1911, 63. Mar., 159-179 7988 Non-linear finite element analysis of concrete slab structures R. J. COPE, BSc, PhD, MICE* P. VASUDEVA RAO, BSc, PhD? Limit state designs are being appliedto anincreasingly wide range of reinforced concrete and structures. For complex forms such as shear walls, eccentrically stiffened slabs box beams, current design methods are usually derived from elastic theories. Behaviour of slab assemblages in the post-cracking range has not been widely studied...

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