Browsing School of Mathematics, Statistics and Applied Mathematics by Author "Mangan, Robert"
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Gent models for the inflation of spherical balloons
Mangan, Robert; Destrade, Michel (Elsevier, 2015)We revisit an iconic deformation of nonlinear elasticity: the inflation of a rubber spherical thin shell. We use the 3parameter Mooney and GentGent (GG) phenomenological models to explain the stretchstrain curve of a ... 
Guided waves in prestressed hyperelastic plates and tubes: Application to the ultrasound elastography of thinwalled soft materials
Li, GuoYang; Mangan, Robert; Xu, Guoqiang; Mo, Chi; Luo, Jianwen; Destrade, Michel; Cao, Yanping (Elsevier, 20170217)In vivo measurement of the mechanical properties of thinwalled soft tissues (e.g., mitral valve, artery and bladder) and in situ mechanical characterization of thinwalled artificial soft biomaterials in service are of ... 
Strain energy function for isotropic nonlinear elastic incompressible solids with linear finite strain response in shear and torsion
Mangan, Robert; Destrade, Michel; Saccomandi, Giuseppe (Elsevier, 20160718)We find the strain energy function for isotropic incompressible solids exhibiting a linear relationship between shear stress and amount of shear, and between torque and amount of twist, when subject to large simple shear ... 
Wrinkles and creases in the bending, unbending and eversion of soft sectors
Sigaeva, Taisiya; Mangan, Robert; Vergori, Luigi; Destrade, Michel; Sudak, Les (The Royal Society, 20180323)We study what is clearly one of the most common modes of deformation found in nature, science and engineering, namely the large elastic bending of curved structures, as well as its inverse, unbending, which can be brought ... 
Wrinkles in the opening angle method
Destrade, Michel; Lusetti, Irene; Mangan, Robert; Sigaeva, Taisiya (Elsevier, 20170610)We investigate the stability of the deformation modeled by the opening angle method, often used to give a measure of residual stresses in arteries and other biological soft tubular structures. Specifically, we study the ...