Micromechanics of Smart Composite Plates with Periodically Embedded Actuators and Rapidly Varying Thickness

Abstract

Asymptotic homogenization models for smart composite plates with periodically arranged embedded actuators and rapidly varying thickness are derived. The formulated models enable the determination of both local fields and effective elastic, actuation, thermal expansion, and hygroscopic expansion coefficients from three-dimensional local unit cell problems. The actuation coefficients, for example piezoelectric or magnetostrictive, characterize the intrinsic transducer nature of active smart materials that can be used to induce strains and stresses in a coordinated fashion. The theory is illustrated by means of examples pertaining to thin smart composite plates of uniform thickness, rib-and waferreinforced smart composite structures, and sandwich smart composite plates with honeycomb filler.

Modeling and analysis of laminated shape memory alloy composite plates

“…22 The plate dimensions are taken as a ¼ b ¼ 0:25 m. The material properties are given in Table 3. [3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20][21][22] If we assume for validation purpose that 22 then for 55-Nitinol R ma ¼ 1:4. The response time of the actuator of the SMA layer for martensite-toaustenite heating transition for an applied power P ¼ 7:787 Â 10 7 W =m 3 R p ¼ 0:2863 À Á , and for austenite-to-martensite cooling transition for a sink temperature T sink ¼ À21 C 4 for both linear and Brinson's SMA model and compared with Wirtz.…”

“…Kalamkarov et al 14 proposed asymptotic homogenization models for smart composite plates with periodically arranged embedded actuators and rapidly varying thickness.…”

Transversely isotropic constitutive properties modeling of tubular sandwich composite structures

“…Note that eff 13 ¼ eff 12 in our case, as seen in Figure 3. Using the relationships given by equations ( 6), (17), and (43), and coordinates shown in Figure 3, we can obtain…”

“…15 Most recently, these results have been generalized in the case of generally orthotropic smart (in particular, piezoelectric) honeycomb sandwich shells and smart waferreinforced composite shells and plates. 16,17 Special classes of orthotropic materials are those that have the same properties in one plane and different properties in the direction normal to this plane. Such materials are called transversely isotropic, and they are described by five independent elastic constants (i.e.…”

Micromechanical modeling and effective properties of the smart grid-reinforced composites

“…This model was subsequently used to analyze the wafer and rib-reinforced smart composite plates as well as the sandwich composites with honeycomb fillers, see, e.g., Kolpakov (1997, 2001), Kalamkarov et al (2009a). More recently, Kalamkarov et al (2006), Georgiades et al (2006) and Challagulla et al (2007Challagulla et al ( , 2008 have determined effective coefficients for the network-reinforced composite plates and shells. Saha et al (2007a,b) investigated the smart composite sandwich shells made of generally orthotropic materials.…”