期刊
INTERNATIONAL JOURNAL OF FRACTURE
卷 148, 期 2, 页码 185-193出版社
SPRINGER
DOI: 10.1007/s10704-008-9192-8
关键词
gradient elasticity; wave dispersion; length scale; Representative Volume Element
资金
- Engineering and Physical Sciences Research Council [EP/D041368/1] Funding Source: researchfish
- EPSRC [EP/D041368/1] Funding Source: UKRI
Dispersive wave propagation is simulated with a continuum elasticity theory that incorporates gradients of strain and inertia. The additional parameters are the Representative Volume Element (RVE) sizes in statics and dynamics, respectively. For the special case of a periodic laminate, expressions for these two RVE sizes can be provided based on the properties of the two components. The fourth-order governing equations are rewritten in two sets of coupled second-order equations, whereby the two sets of unknowns are the macroscopic displacements and the microscopic displacements. The resulting formulation is thus a true multi-scale continuum. In a numerical wave propagation example it is shown that the higher-order continuum model provides an excellent approximation of an explicit model of the heterogeneous laminate.
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