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Micromechanical modelling of elastic continuum with virtual multi-dimensional internal bonds
International journal for numerical methods in engineering, 2006-01, Vol.65 (1), p.135-146
Zhennan, Zhang
Xiurun, Ge
2006
Details
Autor(en) / Beteiligte
Zhennan, Zhang
Xiurun, Ge
Titel
Micromechanical modelling of elastic continuum with virtual multi-dimensional internal bonds
Ist Teil von
International journal for numerical methods in engineering, 2006-01, Vol.65 (1), p.135-146
Ort / Verlag
Chichester, UK: John Wiley & Sons, Ltd
Erscheinungsjahr
2006
Link zum Volltext
Quelle
Wiley Blackwell Single Titles
Beschreibungen/Notizen
A micromechanical model is developed for the elastic continua with virtual multi‐dimensional internal bonds. The basic idea of the presented model is that materials are discretized into mass particles and these mass particles are connected with randomized normal and shear bonds. Based on the Cauchy‐born rules and the hyperelastic theory, a constitutive relationship is derived. The constitutive relationship bridges the virtual bond stiffness and the macromaterial constants, i.e. Young's modulus and Poisson ratio. The presented model could represent the diversity of Poisson ratio. The motivation of the presented work is to provide a useful micromechanical model for the numerical simulation of material failure behaviours and improve the understanding of material failure mechanisms. To show the application of the presented model, a tensile failure example of brittle materials is analysed and numerically simulated. By comparison, a good agreement is found between the predicted and the experimental. The prospect of the presented model seems to be highly promising. Copyright © 2005 John Wiley & Sons, Ltd.
Sprache
Englisch
Identifikatoren
ISSN: 0029-5981
eISSN: 1097-0207
DOI: 10.1002/nme.1500
Titel-ID: cdi_proquest_miscellaneous_29337889
Format
–
Schlagworte
Computational techniques
,
Computer simulation
,
Constants
,
Constitutive relationships
,
continua modelling
,
discrete concept
,
Exact sciences and technology
,
Failure
,
Fracture mechanics (crack, fatigue, damage...)
,
Fundamental areas of phenomenology (including applications)
,
Mathematical methods in physics
,
Mathematical models
,
Modulus of elasticity
,
Physics
,
Poissons ratio
,
Solid mechanics
,
Static elasticity (thermoelasticity...)
,
Structural and continuum mechanics
,
virtual internal bond (VIB)
,
virtual multi-dimensional internal bonds (VMIB)
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