The Infona portal uses cookies, i.e. strings of text saved by a browser on the user's device. The portal can access those files and use them to remember the user's data, such as their chosen settings (screen view, interface language, etc.), or their login data. By using the Infona portal the user accepts automatic saving and using this information for portal operation purposes. More information on the subject can be found in the Privacy Policy and Terms of Service. By closing this window the user confirms that they have read the information on cookie usage, and they accept the privacy policy and the way cookies are used by the portal. You can change the cookie settings in your browser.
In order to describe elastic waves propagation in metamaterials, i.e. solids with heterogeneities or microstructure, it is necessary to consider non‐local or higher‐order models. The relaxed micromorphic model (RMM) proposed here can describe these effects as a continuous material with enriched kinematics. We present a new unit cell giving rise to a metamaterial for acoustic application. The microstructure...
We study convexity properties of isotropic energy functions in planar nonlinear elasticity in the context of Morrey's conjecture, which states that rank‐one convexity does not imply quasiconvexity in the two‐dimensional case. Recently, it has been shown that for the special case of isochoric energy functions on GL+(2) = {F ∈ ℝ2×2 | det F > 0}, i.e. for any isotropic function W : GL+(2) → ℝ with...
In a 2012 article in the International Journal of Non‐Linear Mechanics, Destrade et al. showed that for nonlinear elastic materials satisfying Truesdell's so‐called empirical inequalities, the deformation corresponding to a Cauchy pure shear stress is not a simple shear. Similar results can be found in a 2011 article of L. A. Mihai and A. Goriely. We confirm their results under weakened assumptions...
We reconsider anti‐plane shear deformations of the form ϕ(x) = (x1, x2, x3 + u(x1, x2)) based on prior work of Knowles and relate the existence of anti‐plane shear deformations to fundamental constitutive concepts of elasticity theory like polyconvexity, rank‐one convexity and tension‐compression symmetry. In addition, we provide finite‐element simulations to visualize our theoretical findings.
Set the date range to filter the displayed results. You can set a starting date, ending date or both. You can enter the dates manually or choose them from the calendar.