We derive an expression relating the axial load, the indentation depth, and the elastic constants of an orthotropic material, and simplify it to that for a cubic material (e.g., an FCC single crystal). We use this formula and results of three virtual (i.e., numerical) indentation tests on the same specimen oriented differently to find values of the elastic moduli, and show that they agree well ...

Ahatract-We introduce a displacement-pressure (u/p) finite element formulation for the geometrically and materially nonlinear analysis of compressible and almost incompressible solids. The u/p formulation features the a priori replacement of the pressure computed from the displacement field by a separately interpolated pressure; this replacement is petformed without reference to any specific ma...

A constitutive theory for orthotropic materials is briefly summarized. The constitutive theory allows for anisotropy of the elastic response and anisotropy resulting from both the yield function and the kinematic hardening. The formulation also includes a constitutive theory, thermodynamically consistent, for the plastic spin and the re-orientation of the anisotropy properties towards a more fa...

The scattered field arising from diffraction of a plane flexural wave by a semi-infinite crack in an orthotropic Kirchhoff thin plate is analysed. The crack is aligned with a principal direction of the material, so that two of the plate’s three planes of symmetry are preserved. An asymptotic approximation is derived via the method of steepest descents, and explicit expressions are given for the...

The ability to create architected materials that possess both high stiffness and toughness remains an elusive goal, since these properties are often mutually exclusive. Natural materials, such as bone, overcome such limitations by combining different toughening mechanisms across multiple length scales. Here, a new method for creating architected lattices composed of core-shell struts that are b...

Elastic waves in materials with cylindrical orthotropy are considered, this being a plausible model for a wooden pole. For time-harmonic motions, the problem is reduced to some coupled ordinary di erential equations. Previously, these have been solved using the method of Frobenius (power-series expansions). Here, Neumann series (expansions in Bessel functions of various orders) are used, motiva...

The implementation and evaluation of a high fidelity material model for dry fabrics is the main objective of this paper. Inflatable Aerodynamic Decelerators (IADs) and other airinflated structures quite often utilize woven fabrics due to their lightweight and high loading carrying capabilities. Design optimization of these inflated structures relies on a detailed understanding of the woven fabr...

We obtain the existence and the uniqueness at the same time in the reconstruction of orthotropic conductivity in two space dimensions by using two sets of internal current densities and boundary conductivity. The curl free equation of Faraday’s law is taken instead of the elliptic equation in a divergence form which is typically used in electrical impedance tomography. A reconstruction method b...