Browsing Mathematics (Scholarly Articles) by Subject "Exact solutions"
Now showing items 1-3 of 3
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Bleustein-Gulyaev waves in some functionally graded materials
(Elsevier, 2006-02-28)Functionally Graded Materials are inhomogeneous elastic bodies whose properties vary continuously with space. Hence consider a half-space (x2>0) occupied by a special Functionally Graded Material made of an hexagonal (6 ... -
Finite amplitude inhomogeneous waves in Mooney-Rivlin viscoelastic solids
(Elsevier, 2004-09)New exact solutions are exhibited within the framework of finite viscoelasticity. More precisely, the solutions correspond to finite-amplitude, transverse, linearly polarized, inhomogeneous motions superposed upon a finite ... -
Transverse waves in nonlinearly elastic solids and the Milne-Pinney equation
(SAGE Journals, 2011-08-17)We establish a connection between the general equations of nonlinear elastodynamics and the nonlinear ordinary differential equation of Pinney [Proc Amer Math Soc 1950; 1: 681]. As a starting point, we use the exact ...