Anti-plane Surface Waves in Materials with Surface Energy
- 61 Downloads
Surface wave is a wave whose amplitude decays exponentially with the distance from surface.
By anti-plane surface wave, we mean the surface wave when anti-shear is realized.
Surface energy and surface stresses play an important role for material behavior at the nanoscale; see, e.g., Duan et al. (2008), Wang et al. (2011), Javili et al. (2013), and Eremeyev (2016). In particular, they are responsible for size effect at the nanoscale as well as for significant changes in effective (apparent) properties of nanostructured materials. In addition, in materials with surface energy and surface stresses may even exist new phenomena which are absent within the classic continuum models. As an example of such phenomenon, one can consider propagation of anti-plane surface waves in media with surface stresses.
Following Eremeyev et al. (2016), we discuss...
- Duan HL, Wang J, Karihaloo BL (2008) Theory of elasticity at the nanoscale. In: Van der Giessen E, Aref H (eds) Advances in applied mechanics, vol 42. Elsevier, Burlington, pp 1–68Google Scholar
- Eremeyev VA (2019) Surface elasticity models: comparison through the condition of the anti-plane surface wave propagation. In: "Altenbach H, Öchsner A (eds) State of the art and future trends in material modeling. Advanced structured materials, vol 100. Springer, Cham, pp 113–124Google Scholar
- Javili A, McBride A, Steinmann P (2013) Thermomechanics of solids with lower-dimensional energetics: on the importance of surface, interface, and curve structures at the nanoscale. A unifying review. Appl Mech Rev 65(1):010802Google Scholar