Numerical Simulations of One-dimensional Microstructure Dynamics

Journal Article · Fri May 21 00:00:00 EDT 2010 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.3452046· OSTI ID:21361947

Berezovski, M; Berezovski, A; Engelbrecht, J ^[1]

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1. Centre for Nonlinear Studies, Institute of Cybernetics at Tallinn University of Technology, Akadeemia tee 21, 12618 Tallinn (Estonia)

Results of numerical simulations of one-dimensional wave propagation in microstructured solids are presented and compared with the corresponding results of wave propagation in given layered media. A linear microstructure model based on Mindlin theory is adopted and represented in the framework of the internal variable theory. Fully coupled systems of equations for macro-motion and microstructure evolution are rewritten in the form of conservation laws. A modification of wave propagation algorithm is used for numerical calculations. It is shown how the initial microstructure model can be improved in order to match the results obtained by both approaches.

• OSTI ID: 21361947
• Journal Information: AIP Conference Proceedings, Vol. 1233, Issue 1; Conference: 2. international symposium on computational mechanics; 12. international conference on the enhancement and promotion of computational methods in engineering and science, Hong Kong (Hong Kong); Hong Kong (Hong Kong), 30 Nov - 3 Dec 2009; 30 Nov - 3 Dec 2009; Other Information: DOI: 10.1063/1.3452046; (c) 2010 American Institute of Physics; ISSN 0094-243X
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
36 MATERIALS SCIENCE
ALGORITHMS
COMPUTERIZED SIMULATION
CONSERVATION LAWS
CRYSTAL STRUCTURE
ELASTICITY
EQUATIONS
MICROSTRUCTURE
NUMERICAL ANALYSIS
ONE-DIMENSIONAL CALCULATIONS
WAVE PROPAGATION
MATHEMATICAL LOGIC
MATHEMATICS
MECHANICAL PROPERTIES
SIMULATION