We turn next to develop the theory of elasticity for anisotropic solids. The theory is far less well developed for anisotropic materials than it is for isotropic solids. Apart from a few special cases ...

Abstract: We study invariants of the anisotropic elasticity tensor. The invariants are obtained by defining certain tensors of order two associated with the elasticity tensor. We find four ...

Recent research in this area has explored various aspects of nonlinear elasticity, anisotropic materials, and the complex interactions between different types of deformations. Recent studies have ...

We introduce a computational method and a user-friendly code, named ElATools,developed for the analysis of anisotropic elastic properties. ElATools enables facile analysis of the second-order elastic ...

Consequently, all the techniques we developed to solve problems involving isotropic materials can be applied to anisotropic solids. In addition, many solutions for isotropic solids can immediately be ...

FEniCS implementation of a higher-order phase-field fracture model for brittle anisotropic materials. The phase-field model includes the anisotropy in surface energy as well as in elastic strain ...

To exploit the high-temperature superinsulation potential of anisotropic thermal management materials, the incorporation of ceramic aerogel into the aligned structural networks is indispensable.

Anisotropic materials play a critical role in today's manufacturing processes and other applications. Their unique ability to retain their shape under extreme thermal conditions has made these ...

The methodology developed in this study, combining simulations of atomic vibrations with elasticity models, can be directly applied to other anisotropic materials, offering a cost-effective ...