کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1900570 | 1534280 | 2013 | 11 صفحه PDF | دانلود رایگان |
• Notions of wave momentum and quasi-particles in generalized continua.
• Application to the case of strain-gradient elasticity (weak nonlocality).
• Application to Cosserat–micropolar materials (rigid microstructure).
• Application to models with long-range interactions (nonlocal elasticity).
The possibility of associating the notion of quasi-particles with elastic wave modes is explored for three basic models of generalized continua: strain-gradient model (weak nonlocality), elasticity with a microstructure such as in Cosserat/micropolar materials, and a true nonlocal model involving the long-range interactions in the underlying crystal lattice. In each case a simplified one-dimensional model is considered. Approximate solutions involving small parameters and exhibiting scale effects are obtained for the Newtonian-like motion of associated quasi-particles. Interpretation for alternate wave-like and quasi-particle-like behaviors is given.
Journal: Wave Motion - Volume 50, Issue 8, December 2013, Pages 1251–1261