Details of Grant 

EPSRC Reference:	GR/R53692/01
Title:	Quasi-fronts in incompressible pre-stressed plates subject to edge point loading
Principal Investigator:	Kaplunov, Professor J
Other Investigators:	Rogerson, Professor G
Researcher Co-Investigators:
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Department:	Mathematics
Organisation:	Victoria University of Manchester, The
Scheme:	Fast Stream
Starts:	01 October 2001	Ends:	31 July 2003	Value (£):	58,495
EPSRC Research Topic Classifications:	Continuum Mechanics
EPSRC Industrial Sector Classifications:	No relevance to Underpinning Sectors
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Summary on Grant Application Form
This proposal seeks funding to emply a Post Doctortal Reseach Assistant for a period of eighteen months. Its aim is to generalise a theory for quasifronts (previously known as a distorted extensional three-dimensional wave front predicted by the clasical approximate theories of rods, plates and shells), previously developed for thin linear isotropic elastic structures, to incompressible pre-stressed elastic plates subjected to various point edge loadings. The starting point is the second order (two-dimensional) long wave low frequency approximation for pre-stressed incompressible elastic plates. The solution of specific loading problems will be obtained through the use of matched asymptotic expansions, with the outer solution provided by the leading order and the higher order solution providing an inner solution (expected to be a one-dimensioanl boundary layer) in the vicinity of the front. In contrast to the classical linear isotropic case, for which only a receeding (extensional) front exists, the case considered will provide two extensional quasi-fronts and one flexural quasi-front. Moreover, their nature, receeding or advancing is dependent on material parameters, pre-stress and angle of propagation. The validity of the asymptotic approach will be established by comparison with numerical inversion of integral transform representations of the exact solutions.
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