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ON COMPLEX VARIABLE METHOD IN FINITE ELASTICITY
Akinola, Ade 한국전산응용수학회 2003 Journal of applied mathematics & informatics Vol.12 No.1
We highlight the alternative presentation of the Cauchy-Riemann conditions for the analyticity of a complex variable function and consider plane equilibrium problem for an elastic transversely isotropic layer, in finite deformation. We state the fundamental problems and consider traction boundary value problem, as an example of fundamental problem-one. A simple solution of“Lame's problem”for an infinite layer is obtained. The profile of the deformed contour is given; and this depends on the order of the term used in the power series specification for the complex potential and on the material constants of the medium.
AN INDIFFERENT CONSTITUTIVE LAW IN FINITE ELASTICITY
Akinola, Ade 한국전산응용수학회 2001 The Korean journal of computational & applied math Vol.8 No.3
The concepts of material frame-indifference and material symmetry group with respect to isotropic scalar functions, as represented by energy functions, are discussed. An energy function for a structured heterogeneous (transversal isotropic) medium in large elastic deformations, which is known to satisfy the Ponyting’s effect [1], is highlighted. It is shown that the constitutive relation due to this energt function is material frame-indifferent. AMS Mathematics Subject classification : 73G05, 73B40
AN EFFECT OF LARGE DEFORMATIONS ON WAVES IN ELASTIC CYLINDRICAL LAYER
Akinola, Ade 한국전산응용수학회 1998 Journal of applied mathematics & informatics Vol.5 No.3
A cylindrical elastic layer in finite deformation s con-sidered. The characteristics of the linear longitudinal wave and the nonlinear shear wave are investigated; the dependence of the later on the parameter of large deformation is given.
AN ENERGY FUNCTION FOR TRANSVERSELY-ISOTROPIC ELASTIC MATERIAL AND THE PONYTING EFFECT
Akinola, Ade 한국전산응용수학회 1999 Journal of applied mathematics & informatics Vol.6 No.3
On the basis of the semi-linear material of John invoking the theory of homogenization for heterogeneous media and the theory of invariants for isotropic scalar functions an energy function is built for a transversely-isotropic medium in finite elastic deformation. The ponyting Effect for material in simple shear is reviewed for this case of transversal isotropy. It is shown that this effect is apprehended by the constructed energy function.