Effect of inherent anisotropy on acceleration wave speeds in hypoplasticity

Anisotropic Hypoplastic Model Considering the Relation between Fabric Tensor and Anisotropic Parameters

“…Further, many researchers have developed anisotropic hypoplastic models to simulate the mechanical response of anisotropic soil based on the above hypoplastic models [28][29][30][31][32][33][34][35][36][37][38][39][40][41][42][43][44]. On the basis of the consideration of the principle of objectivity and the condition of material symmetry, Wu [28] has developed a new hypoplastic model for inherently anisotropic sand by incorporating a vector normal to the bedding plane into the explicitly granular hypoplastic models, which reproduces the mechanical behaviors of anisotropic sand.…”

Jordan–Cattaneo waves: Analogues of compressible flow

“…Indeed, acceleration waves have been studied recently in many different areas of continuum mechanics or even in biology. For example, they have been proved to be useful in random materials, Nishawala and Ostoja Starzewski [6], Ostoja Starzewski and Trebicki [7,8]; in saturated porous media, Jordan [9,10], Jordan et al [11], Ciarletta and Straughan [12], Ciarletta et al [13], Straughan and Tibullo [14], Straughan et al [15]; in hypoplastic materials, Weingartner et al [16,17]; in viscoelastic fluids, Gültop et al [18], Morro [19]; in inhomogeneous fluids, Keiffer et al [20]; in layers of isotropic solids Currò et al [21]; in chemotaxis Barbera and Valenti [22]; in plasticity Loret et al [23]; in perfect gases, relaxing gases and in polytropic gases, Mentrelli et al [24], Christov et al [25], Saxena and Jena [26], Shah and Singh [27]; in micro-structured media, Altenbach et al [28], Eremeyev [29,30], Eremeyev et al [31]; in complex materials, Paoletti [32]; in soft materials, Ziv and Shmuel [33]; and in Green-Naghdi fluids, Christov [34], Jordan and Straughan [35].…”