1,327 research outputs found
Bifurcations of a coated, elastic cylinder
No full textBifurcations in velocities from a state of homogeneous axisymmetric deformation are investigated for a coated elastic cylinder subject to axial tension or compression. The cylinder and the finite-thickness coating have circular cross sections. At the coating/core contact, a linear interface is introduced to simulate imperfect bonding. The particular case in which the thickness of the coating becomes infinite is also addressed. This may model the behaviour of a fiber embedded in an infinite matrix. Generic modes of bifurcations are investigated in the elliptic range, comprised axi- and anti-symmetric modes. Incompressible, hyperelastic materials, including Ogden, Mooney–Rivlin, and J2-deformation theory of plasticity, are considered in the applications
Dynamics of piecewise homogeneous, periodic beams: filtering properties and localized modes
No full textLong wavelength bifurcations and multiple neutral axes of elastic layered structures subject to finite bending
No full textGeometries and rigidities involving the presence of more than one neutral axis during finite (plane-strain) bending of a multilayered elastic (incompressible) block make numerically stiff the differential equations governing the incremental problem necessary to investigate diffuse-mode instabilities. We have developed a compound matrix method to solve these cases, so that we have shown that the presence of two neutral axes occurs within sets of parameters where the elastic system may display long-wavelength bifurcation modes. Following the predictions of the theory, we have designed and realized qualitative experiments in which these modes become visible
A boundary element formulation for incremental nonlinear elastic deformation of compressible solids
No full textIncremental plane strain deformations superimposed upon a uniformly stressed and deformed nonlinear elastic (compressible) body are treated by developing {\it ad hoc} boundary integral equations that, discretized, lead to a novel boundary element technique. The approach is a generalization to compressible elasticity of results obtained by Brun, Capuani, and Bigoni (2003, Comput. Methods Appl. Mech. Engrg. 192, 2461-2479), and is based on a Green's function here obtained through the plane-wave expansion method. New expressions for Green's tractions are determined, where singular terms are solved in closed form, a feature permitting the development of a optimized numerical code. An application of the presented formulation, namely, bifurcation of a compressible Mooney-Rivlin rectangular block, highlights the strengths of the approach
Feasibility of estimating vertical transverse isotropy from microseismic data recorded by surface monitoring arrays
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