An anisotropic continuum-molecular model based on pair potentials for describing the linear static and dynamic behavior of periodic heterogeneous Cauchy materials is derived in framework peridynamic theory. Non-central pairwise actions are assumed as work-conjugates to specific deformation variables. A constitutive law, depending trigonometrically material fiber direction preserving elastic sym...

A family of K-step Trigonometrically-fitted Block Falkner Methods is considered for the direct solution second order Oscillatory Initial value problems. As unique to methods, two main formulas (one method and one derivative) each k-step some additional formulas. This shall be adapted general oscillatory ordinary differential equations via multistep collocation technique. The idea employed in th...

A family of Enright’s second derivative formulas with trigonometric basis functions is derived using multistep collocation method. The continuous schemes obtained are used to generate complementary methods. The stability properties of the methods are discussed.Themethodswhich can be applied in predictor-corrector formare implemented in block formas simultaneous numerical integrators over nonove...