... discrete element applications employ an explicit integration for resolving orientation, often involving products of matrices, which have well‐known drawbacks. The purpose of this paper is to investigate commonly used algorithms for resolving rotational motion and describe the application of quaternion...

... to enhance its performance. Integration Algorithmic languages G=shear modulus G¯_n,G¯_e,G¯_p=matrix exponentials of A (fully elastic or fully plastic load steps) G_n,G_e,G_p=matrix exponentials of A (load...

...Scott W. Sloan; Andrew J. Abbo; Daichao Sheng Effective explicit algorithms for integrating complex elastoplastic constitutive models, such as those belonging to the Cam clay family, are described. These automatically divide the applied strain increment into subincrements using an estimate...

...Stefan Doll; Karl Schweizerhof; Ralf Hauptmann; Christof Freischläger As known from nearly incompressible elasticity, selective reduced integration (SRI) is a simple and effective method of overcoming the volumetric locking problem in 2D and 3D solid elements. This method of finite...

... the coordinates and the field variables. Then, for the numerical integration involved, it further uses interpolation to decompose the higher order elements into lower order elements so that the existing analytical integration formulas can be applied. By adopting this procedure, the proposed method yields good...

...Alessandra Aprile; Andrea Benedetti A direct integration method for the dynamic analysis of structures equipped with viscoelastic dampers (VED) is presented in this paper. The constitutive model of the damper is set using a system of Maxwell elements composed in parallel (MPS); the evolutive...

...S.W. Lee; J.W. Yoon; D.Y. Yang Two kinds of time integration methods; the dynamic explicit method and the static implicit method, have been compared, especially with emphasis on the shell formulations and the stress integration methods. Two methods have been applied to the benchmark problem named...

...B. Daya Reddy; Martin Küssner This work explores the properties of four‐noded quadrilateral elements for which integration is carried out using low‐order integration rules, based on one‐point integration over subelements making up the quadrilaterals. The purpose is to identify those rules which...

...G. Bergman; M. Oldenburg; P. Jeppsson A database for finite element models and related data is developed and incorporated into a prototype system for integration of non‐linear finite element codes with a product design system. In the prototype system,the database is used as a link for integrating...