... in literature. elevator traveling cables slope angle integropartial differential equation flexible multibody dynamics differential-algebraic equations bending cables (mechanical) elasticity finite element analysis integro-differential equations lifts partial differential equations...

... and Murdoch. Complex variable methods are used to obtain an exact solution valid everywhere in the domain of interest (including at the crack tip) by reducing the problem to a Cauchy singular integro-differential equation of the first order. Finally, we adapt classical collocation methods to obtain numerical...

... intensity factors, K III , are derived and numerical results are provided. 23 02 2007 27 02 2007 21 08 2008 Chebyshev approximation crack-edge stress field analysis elastic constants elasticity fracture mechanics functionally graded materials integro-differential equations...

... decaying kernel functions. Conventional viscous and viscoelastic damping models can be obtained as special cases of this general damping model. The equation of motion of the beam with such a general damping model results in a linear partial integro-differential equation. Exact closed-form equations...

...S. L. Mitchell; R. Kuske; A. P. Peirce This paper presents a novel asymptotic framework to obtain detailed solutions describing the propagation of hydraulic fractures in an elastic material. The problem consists of a system of nonlinear integro-differential equations and a free boundary problem...

... A). vibrations chaos modelling partial differential equations integro-differential equations simulation eigenvalues and eigenfunctions Galois fields 2003 ASME ...

... field analysis fracture mechanics surface energy shear modulus boundary-value problems Fourier transforms integro-differential equations Chebyshev approximation 18 Oct 2000 06 Sep 2001 25 08 2003 Contributed by the Applied Mechanics Division of THE AMERICAN SOCIETY...

... integro-differential equations perturbation techniques oscillations Shallow arches are common structural members widely used either in civil engineering (e.g., bridges) or in mechanical and aerospace engineering as subelements of more complex structures. More recently, they are being...

... the faces of a flat crack in an infinite space. The governing integro-differential equations of the problem are derived. It is found that exact expressions for the piezothermoelastic field for a penny-shaped crack subject to a uniform temperature can be obtained in terms of elementary functions. [S0021-8936...

... , D. A. , 1973 , “ The Indentation and Scratch Hardness of Plastics ,” ASME J. Eng. Mater. Technol. , 95 , pp. 243 – 251 . mechanical contact integro-differential equations elasticity plasticity viscoelasticity elastoplasticity indentation deformation The large body...