... for the numerical treatment of particle-fluid interactions. The particle properties are constitutively described by an adhesive viscoelastic model. To compute the hydrodynamic forces, a direct integration method is employed, where the fluid stresses are integrated over the particles’ surfaces. For the purpose...

... and coefficients G i j , K i j are determined by the integration of the trial functions via Galerkin method, which have been listed in the Appendix 0 . Equation 21 can be cast into matrix-vector form 22 y ̇ = S y where 23 y = ( q q...

... recent years (it is noted that the work presented in Ref. 21 was apparently aimed toward offering an alternative solution technique in view of problems of numerical stability and large computation times involved with long-term integration by finite difference schemes, but the paper did not include any...

... regions have been discussed and classified. Section 1 gives a few of the many applications of fractional calculus to physical problems. In Sec. 2 an equation that contains both integration and differentiation is presented using geometrical observations about the relationship between the changes...

...J. H. Chang; J. S. Lin A fracture parameter M c is proposed for evaluation of the surface energy associated with the creation of multiple curved cracks in 2D rubbery solids under the action of large deformation. Based on the concept of the M -integral, the parameter is developed by performing...

... reduces the number of unknowns to solve in the time-integration process and also favors the use of advanced ODE algorithms, enhancing the efficiency and robustness of time integration. The issue of the imposition of vorticity boundary conditions is addressed, and details of the implementation of the KLE...

... a finite element discretization of the macro domain, in which the evolution of the microstructure is taken into account at the Gauss integration points. The quantitative agreement between experimental and computational values in terms of cooling curves is acceptable. Evolution of liquid ( f l...

... of the up-wind finite difference method, using combinations of explicit and implicit methods for the numerical integration of the different balance equations. An adaptive nodalization scheme is implemented, minimizing the error of the propagation of small perturbations through the discretized volumes...

...A. Mahmoud; A. H. Shah; S. B. Dong In this paper, transient three-dimensional response of a transversely isotropic composite plate to a time varying point load is efficiently computed by reducing the elastodynamic equation through integral and coordinate transformations to a series of two...

...Lorenzo Bardella; Francesco Genna In this note we illustrate how to obtain the full family of Newmark’s time integration algorithms within a rigorous variational framework, i.e., by discretizing suitably defined extended functionals, rather than by starting from a weak form (for instance...

... governing equations is solved by the Newton-Raphson method in conjunction with the Newmark time integration scheme. The panel deformation is observed to be sensitive to the motion of the base. Contributed by the Applied Mechanics Division of THE AMERICAN SOCIETY OF MECHANICAL ENGINEERS...

..., Apr. 25, 2003. Associate Editor: V. K. Kinra. 12 Mar 2001 25 Apr 2003 10 10 2003 vibrations splines (mathematics) integration Newton-Raphson method bending The nonlinear characteristics of the large-amplitude asymmetric flexural vibrations of the isotropic thin...

... integration 2001 ASME ...

... integration scheme are also examined. In the porous material analysis, crack propagation is simulated to characterize its unique failure process. It appears a crack tends to propagate along the shortest path between neighboring pores. In addition, crack/pore coalescence mechanism causes the apparent crack...

... in the ASME JOURNAL OF APPLIED MECHANICS . 12 December 1999 01 July 2000 correspondence principle damping viscoelasticity porous materials differential equations convolution stress effects integration Laplace transforms For a wide range of fluid infiltrated materials...