In the present article two-dimensional hybrid equilibrium element formulation is initially developed, with quadratic, cubic, and quartic stress fields, for static analysis of compressible quasi-incompressible elastic solids in variational framework minimum complementary energy principle. Thereafter, high-order developed dynamic Toupin principle, which form Hamilton The Newmark time integration ...

In general dynamic analyses, lower mode response is of interest, however the higher modes of spatially discretized equations generally do not represent the real behavior and not affects to global response much. Some implicit algorithms, therefore, are introduced to filter out the high-frequency modes using intended numerical error. The objective of this study is to introduce the P-method and PC...

This paper presents a counterexample to the conjecture that the semi-explicit Lie-Newmark algorithm is variational. As a consequence the Lie-Newmark method is not well-suited for long-time simulation of rigid body-type mechanical systems. The counterexample consists of a rigid body in a static potential field.

in this article the general non-symmetric parametric form of the incremental secant stiffness matrix for nonlinear analysis of solids have been investigated to present a semi analytical sensitivity analysis approach for geometric nonlinear shape optimization. to approach this aim the analytical formulas of secant stiffness matrix are presented. the models were validated and used to perform inve...

The subsea wellhead is a key equipment for offshore oil and gas development. Traditional research focuses on static stability of system in which the dynamic effect neglected. In this paper, drilling platform/riser/wellhead/conductor fully coupled model established to evaluate system. An algorithm solving proposed based finite element method Newmark integral method. A analysis program also devel...

At present, there are still some gaps in the theoretical calculation of permanent displacement multi-stage loess slope under action earthquake. Therefore, this paper firstly uses GEO-Studio finite element software to explore influence comprehensive rate on when each grade changes and stage changes. The results show that it is feasible use calculate sliding body On basis conclusion, order simpli...

This paper investigates a time-stepping procedure of the Newmark type for dynamic analyses viscoelastic structures characterized by generalized Maxwell model. We depart from scheme developed three-parameter model Hatada et al. [1], which we extend to generic chain and demonstrate that resulting algorithm can be derived suitably discretized Hamilton variational principle. structure manifests its...

A high-order Absorbing Boundary Condition (ABC) is devised on an artificial boundary for time-dependent elastic waves in unbounded domains. The configuration considered is that of a two-dimensional elastic waveguide. The proposed ABC is an extension of the Hagstrom-Warburton ABC which was originally designed for acoustic waves, and is applied directly to the displacement field. The order of the...