Picture of UK Houses of Parliament

Leading national thinking on politics, government & public policy through Open Access research

Strathprints makes available scholarly Open Access content by researchers in the School of Government & Public Policy, based within the Faculty of Humanities & Social Sciences.

Research here is 1st in Scotland for research intensity and spans a wide range of domains. The Department of Politics demonstrates expertise in understanding parties, elections and public opinion, with additional emphases on political economy, institutions and international relations. This international angle is reflected in the European Policies Research Centre (EPRC) which conducts comparative research on public policy. Meanwhile, the Centre for Energy Policy provides independent expertise on energy, working across multidisciplinary groups to shape policy for a low carbon economy.

Explore the Open Access research of the School of Government & Public Policy. Or explore all of Strathclyde's Open Access research...

On the coupling number and characteristic length of micropolar media of differing topology

McGregor, M. and Wheel, Marcus (2014) On the coupling number and characteristic length of micropolar media of differing topology. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 470. p. 20140150. ISSN 1471-2962

[img] Microsoft Word (McGregor M & Wheel MA - Pure - On the coupling number and characteristic length of micropolar media of differing topology Jun 2014)
McGregor_M_Wheel_MA_Pure_On_the_coupling_number_and_characteristic_length_of_micropolar_media_of_differing_topology_Jun_2014.docx
Preprint

Download (1MB)

    Abstract

    In planar micropolar elasticity theory the degree of micropolarity exhibited by a loaded heterogeneous material is quantified by a dimensionless constitutive parameter, the coupling number. Theoretical predictions of this parameter derived by considering the mechanical behaviour of regular, two dimensional lattices with straight connectors suggest that its value is dependent on the connectivity or topology of the lattice with the coupling number in a square lattice predicted to be noticeably higher than in its hexagonal counterpart. A second constitutive parameter reflecting the intrinsic lattice size scale, the characteristic length, is also predicted to be topology dependent. In this paper we compare the behaviour of alternative two dimensional heterogeneous materials in the context of micropolar elasticity. These materials consist of periodic arrays of circular voids within a polymeric matrix rather than a lattice of straight connectors. Two material variants that differ only in their matrix topology are investigated in particular. Values of the additional micropolar constitutive parameters are obtained for each material from both experimental tests and finite element analyses. The values determined for these parameters, particularly the coupling number, suggest that their topological dependence differs appreciably from the theoretical predictions of the lattice models.