|An explicit extrapolated box method is considered for a nonlinear partial integrodif-ferential equation, the Gurtin-MacCamy equation, subject to a nonlocal boundary condition. This problem describes the evolution in time of the age structure of a population. The consistency, stability and convergence properties of the method are studied, and its second order accuracy is demonstrated both analy...

In this paper, a numerical solution procedure is presented for the free and forced vibration of a piezoelectric nanowire under thermo-electro-mechanical loads based on the nonlocal elasticity theory within the framework of Timoshenko beam theory. The influences of surface piezoelectricity, surface elasticity and residual surface stress are taken into consideration. Using Hamilton’s principle, t...

Quasicrystals can carry, in addition to the classical phonon displacement field, a phason displacement field, which requires a generalized theory of elasticity. In this paper, the third-order strain invariants (including phason strain) of icosahedral quasicrystals are determined. They are connected with 20 independent third-order elastic constants. By means of non-linear elasticity, phason stra...

david j. bird, sabine duquesne, steeg d. hoeksema, william j. langston and ian c. potter Department of Life Sciences, University of the West of England, Coldharbour Lane, Bristol, BS16 1QY, UK, Department of System Ecotoxicology, Helmholtz Centre for Environmental Research, UFZ Permoserstrasse 15, D-04318 Leipzig, Germany, Centre for Fish and Fisheries Research, School of Biology and Biotechnol...

NÚRIA BONADA* , MARIA RIERADEVALL* , HELEN DALLAS , JENNY DAVIS , JENNY DAY , RICARDO FIGUEROA § , VINCENT H. RESH AND NARCÍS PRAT* *Department of Ecology, University of Barcelona, Barcelona, Spain Department of Zoology, University of Cape Town, Cape Town, South Africa Aquatic Ecosystems Research Group, Murdoch University, Murdoch, Western Australia Aquatic Systems Research Unit, Environmental ...

In this paper, surface effects including surface elasticity, surface stress and surface density, on the free vibration analysis of Euler-Bernoulli and Timoshenko nanobeams are considered using nonlocal elasticity theory. To this end, the balance conditions between nanobeam bulk and its surfaces are considered to be satisfied assuming a linear variation for the component of the normal stress thr...

In this work, a novel fully-dynamic piezoelectric beam model is considered. Electromagnetic and thermal effects are taken into consideration by Maxwell’s equations the Coleman–Gurtin law (instead of Fourier’s law), respectively. Our accounts also for electromagnetic (creep) past histories, which in line with time response PVDF at applied stress longitudinal direction. Under suitable assumptions...

In this article free vibration of a Timoshenko nanobeam with variable cross-section is investigated using nonlocal elasticity theory within the scope of continuum mechanics. Small scale effects are modelled after Eringen’s nonlocal elasticity theory while the non-uniformity is presented by exponentially varying width through the beam length with constant thickness. Analytical solution is achiev...

Albert J. Gabric1, Bo Qu2, Leon Rotstayn3,4 and Jill M. Shephard5 1School of Environment, Griffith University, Nathan, Queensland, Australia 2Science Department, Nantong University, China 3CSIRO Marine and Atmospheric Research, Aspendale, Victoria, Australia 4The Centre for Australian Weather and Climate Research, a partnership between CSIRO and the Bureau of Meteorology, Australia 5School of B...