Sentence examples for update formulation from inspiring English sources

In regards to the development of stress update formulations, a second-order accurate stress update formulation for the corotational stress rate hypoelasticity, and an exact stress update formulation for the logarithmic stress rate hypoelasticity are proposed.

ELCI is an iterative approach, where the constraints are handled alternately based on the special property of the optimal solution, with a particular power update formulation based on the KKT conditions of the problem.

Using the classical undamped modes and a special low-rank matrix update formulation of the problem, the original Quadratic Eigenproblem (QEP) is hugely deflated, without approximations, to an equivalent Rational Eigenproblem (REP) of dimension r ≪ n (Theorem 2), as an alternative to the linearized Standard Eigenproblem of order 2n over the complex field.

Nonlinear solution of the equations was found by iteration using the successive over-relaxation (SOR) update formulation and a Red-Black node ordering [77].

Nonlinear solution of the equations was found by iteration using the successive over-relaxation (SOR) update formulation and a Red-Black node ordering [ 55].

A numerical illustration is presented which draws comparisons with existing stress update formulations in the literature and shows the superior capabilities of the proposed developments.

The primary objectives of the present exposition focus on the applicability of corotational stress rate hypoelasticity models and the design leading to new stress update formulations for subsequent applications.

When α=1 the original updating formulation is achieved.

The updated formulation in Version 3 of the model is shown to better approximate liquefaction behaviors for sloping ground and irregular cyclic loading conditions.

The proposed approach can be considered an enhanced and updated formulation of a previous approach presented by the authors aimed to the reduction of the conservativeness.

After analysing previous attempts at solving this problem, an updated formulation for the convergence criteria of the proposed BESO algorithm is presented.