TITLE

Efficiency comparison of an augmented finite element formulation with standard return mapping algorithms for elastic-inelastic materials

AUTHOR(S)
Rempler, H.-U.; Wieners, C.; Ehlers, W.
PUB. DATE
November 2011
SOURCE
Computational Mechanics;Nov2011, Vol. 48 Issue 5, p551
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
The numerical simulation of elastic-inelastic material behaviour is reviewed and an alternative method, i. e., an augmented Finite Element (FE) formulation is presented. For the augmented FE formulation, the history variables, which provide the information of inelastic deformations from previous time-steps, are represented as FE functions. The discretisation of the augmented system results in additional degrees of freedom (DOF). As a result, generally accepted standard formulations for evaluating inelastic deformations in a numeric sub-step can now be replaced by a fully coupled Newton method. Then, it is not required to solve additional local systems. Both numerical methods are exemplarily applied to a viscoplastic Perzyna-type regularisation of softening material behaviour within a geometrically linear approach in order to simulate the development of shear bands occurring in a tensile bar. Numerical studies prove comparative results, while exhibiting a computational speed-up for the augmented FE formulation.
ACCESSION #
66440881

 

Related Articles

  • An accurate novel coupled field Timoshenko piezoelectric beam finite element with induced potential effects. Sulbhewar, Litesh N.; Raveendranath, P. // Latin American Journal of Solids & Structures;12/8/2014, Vol. 11 Issue 9, p1628 

    An accurate coupled field piezoelectric beam finite element formulation is presented. The formulation is based on First-order Shear Deformation Theory (FSDT) with layerwise electric potential. An appropriate through-thickness electric potential distribution is derived using electrostatic...

  • Detection of stiffness degradation in laminated composite plates by filtered noisy impact testing. Sang-Youl Lee; Rus, Guillermo; Taehyo Park // Computational Mechanics;Dec2007, Vol. 41 Issue 1, p1 

    The purpose of this paper is to detect damage (stiffness degradation) of laminated composite plates from noisy impact response data. The combined finite element method (FEM) with five degrees of freedom (DOF) and the advanced noise filtering algorithm described in this paper may allow us not...

  • Finite element analysis of an embankment on a soft estuarine deposit using an elastic–viscoplastic soil model. Kelln, Curtis; Sharma, Jitendra; Hughes, David; Graham, James // Canadian Geotechnical Journal;Mar2009, Vol. 46 Issue 3, p357 

    A new elastic–viscoplastic (EVP) soil model has been used to simulate the measured deformation response of a soft estuarine soil loaded by a stage-constructed embankment. The simulation incorporates prefabricated vertical drains installed in the foundation soils and reinforcement...

  • Numerical study of the friction effects on the metal flow under local loading way. Zhang, Da-Wei; Yang, He // International Journal of Advanced Manufacturing Technology;Sep2013, Vol. 68 Issue 5-8, p1339 

    Friction plays an important role in bulk metal-forming process. Especially, it has an important influence on metal flow in the local loading process. In the present study, the influence of friction on the metal flow in local loading forming process of rib-web component was analyzed by using...

  • Performing drop test simulation via a penalty finite element method based on dynamic implicit scheme. Zhuang, Shoubing; Murgie, Sam // AIP Conference Proceedings;May2013, Vol. 1532 Issue 1, p434 

    Drop test simulation via finite element methods can help simulate the effects of high impact and shock. It has become an indispensable tool during the virtual product design processes to reduce the cost of experimental test and to help improve the durability of products. The choice of a reliable...

  • A 3D fibre beam-column element with shear modelling for the inelastic analysis of steel structures. Papachristidis, Aristidis; Fragiadakis, Michalis; Papadrakakis, Manolis // Computational Mechanics;May2010, Vol. 45 Issue 6, p553 

    A force-based fiber beam-column element is proposed for the capacity assessment of frame structures under high shear. The proposed element is suitable for the performance assessment of large scale steel structures, which are not flexure-dominated. The element formulation follows the assumptions...

  • FEM Simulation of Incremental Shear. Rosochowski, Andrzej; Olejnik, Lech // AIP Conference Proceedings;2007, Vol. 907 Issue 1, p653 

    A popular way of producing ultrafine grained metals on a laboratory scale is severe plastic deformation. This paper introduces a new severe plastic deformation process of incremental shear. A finite element method simulation is carried out for various tool geometries and process kinematics. It...

  • Study on forming defects in the rolling process of large aluminum alloy ring via adaptive controlled simulation. Zhou, Jie; Wang, Feng-lin; Wang, Meng-han; Xu, Wu-jiao // International Journal of Advanced Manufacturing Technology;Jul2011, Vol. 55 Issue 1-4, p95 

    ording to the distribution characteristics of equivalent plastic strain (PEEQ) in radial-axial ring rolling, the plastic deformation zones in cross section were established. A 3D rigid-viscoplastic finite element model (FEM) which was controlled adaptively was applied to investigate defects that...

  • Principle Research on a Single Mass Piezoelectric Six-Degrees-of-Freedom Accelerometer. Jun Liu; Min Li; Lan Qin; Jingcheng Liu // Sensors (14248220);Aug2013, Vol. 13 Issue 8, p10844 

    A signal mass piezoelectric six-degrees-of-freedom (six-DOF) accelerometer is put forward in response to the need for health monitoring of the dynamic vibration characteristics of high grade digitally controlled machine tools. The operating principle of the piezoelectric six-degrees-of-freedom...

Share

Read the Article

Courtesy of VIRGINIA BEACH PUBLIC LIBRARY AND SYSTEM

Sorry, but this item is not currently available from your library.

Try another library?
Sign out of this library

Other Topics