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Orientation element based constitutive model and lattice model
Liu XY(刘晓宇); Deng SC(邓守春); Liang NG(梁乃刚); Liang, NG (reprint author), Chinese Acad Sci, Inst Mech, LNM, Beijing 100080, Peoples R China.
Source PublicationComputational Mechanics, Proceedings
Conference Name6th World Congress on Computational Mechanics held in conjunction with the 2nd Asian-Pacific Congress on Computational Mechanics
Conference DateSEP 05-10, 2004
Conference PlaceBeijing, PEOPLES R CHINA
AbstractA general formulation of, the Helmholtz free energy used in thermodynamics is derived within the framework of the embedded-atom method with the Cauchy-Born rule. Such a physics-based thermodynamic state potential does not directly incorporate the interatomic potentials and atomic structure of a material, but subsumes the statistical ensemble average of the action of the entirety of microscopic degrees of freedom. The constitutive behavior of a non-dissipative material is therefore entirely determined by this free energy, and is not subject to length and time scale limitations. Moreover, it is proved that the contribution of the two-body potential to the free energy is expressed as the integral of potentials defined in different orientation over the hemisphere, and individual potential in each orientation yields ID constitutive law. Consequently, the discretization of the integration furnishes a unified framework for the development of the truss lattice models for computational micromechanics, as well as of the truss-type lattice structured materials in engineering applications.
WOS IDWOS:000231353600062
Indexed ByCPCI-S
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Document Type会议论文
Corresponding AuthorLiang, NG (reprint author), Chinese Acad Sci, Inst Mech, LNM, Beijing 100080, Peoples R China.
Recommended Citation
GB/T 7714
Liu XY,Deng SC,Liang NG,et al. Orientation element based constitutive model and lattice model[C]Computational Mechanics, Proceedings,2004.
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