Results 111 to 120 of about 11,948,358 (222)

Tangent modulus in numerical integration of constitutive relations and its influence on convergence of N-R method [PDF]

open access: yesApplied and Computational Mechanics, 2009
For the numerical solution of elasto-plastic problems with use of Newton-Raphson method in global equilibrium equation it is necessary to determine the tangent modulus in each integration point. To reach the parabolic convergence of Newton-Raphson method
Poruba Z., Halama R.
doaj  

Surrogate Computational Homogenization Enhanced by Partition‐of‐Unity RBF Interpolation With Decision Trees

open access: yesInternational Journal for Numerical Methods in Engineering, Volume 127, Issue 20, 30 October 2026.
ABSTRACT This study enhances a framework of surrogate computational homogenization (SCH) using decision tree‐based partition‐of‐unity radial basis function (PU‐RBF) interpolation for three‐dimensional finite‐deformation two‐scale analysis. The method addresses the scalability limitation of global RBF interpolation for large numerical material test (NMT)
Yosuke Yamanaka   +2 more
wiley   +1 more source

On Representation of Macroscopic Crack in Periodic Fine‐Scale Discrete Mechanical Models

open access: yesInternational Journal for Numerical Methods in Engineering, Volume 127, Issue 20, 30 October 2026.
ABSTRACT The evolution of strain localization and the corresponding macroscopic response obtained in multiscale modeling of softening heterogeneous materials strongly depend on the boundary conditions imposed on the fine‐scale model. For rectilinear models (e.g., squares or cubes), employing standard Periodic BCs leads to overestimation of energy ...
Jan Raisinger, Jan Eliáš
wiley   +1 more source

Fracture Modeling of Nearly Incompressible Hyperelastic Materials: A Phase‐Field Approach via Simo–Taylor–Pister Three‐Field Variation

open access: yesInternational Journal for Numerical Methods in Engineering, Volume 127, Issue 19, 15 October 2026.
ABSTRACT Incompressibility is commonly observed in the majority of hyperelastic materials, which are fundamental to a wide range of technical applications owing to their distinctive properties, particularly their flexibility, stretchability, and resilience.
Le Zhang   +4 more
wiley   +1 more source

NUMERICAL ANALYSIS OF THE STRESS-STRAIN STATE OF THE MEMBRANE SHELL WITH ACCOUNT OF GEOMETRICAL NON-LINEARITY

open access: yesStructural Mechanics of Engineering Constructions and Buildings, 2012
The numerical procedures and results of analysis of rectangular membranes are presented. For the solution of the nonlinear problem the finite difference energy method and Newton-Raphson method are used.
S I Trushin, E V Sysoeva
doaj  

Efficiency of Ridders’ method in solving nonlinear equations using Scilab programming

open access: yesData Analytics and Applied Mathematics
The study aims to compare the efficiency of numerical methods such as Bisection, Secant, Newton-Raphson, Ridders and Halley’s methods in solving nonlinear scalar equations.
Annie Gorgey   +3 more
doaj   +1 more source

Phương pháp Newton - Raphson và ứng dụng

open access: yes, 2016
LUẬN VĂN THẠC SĨ - CHUYÊN NGÀNH: PHƯƠNG PHÁP TOÁN SƠ CẤP - MÃ SỐ: 60.46.01.13Luận văn tập trung nghiên cứu phương pháp Newton- Raphson tìm nghiệm gần đúng của phương trình f(x) = 0 với sai số cho trước.
Lê, Thị Thi
core  

Numerical Evaluation of Nonlinear Hamiltonian Symmetric Matrix of Rank 1 of an Inverse Eigenvalue Problem Via Newton-Raphson Method [PDF]

open access: yes
In this paper we consider numerical evaluation of nonlinear Hamiltonian symmetric matrix of Rank 1 in an inverse eigenvalue problem via Newton-Raphson method. The approach employed Newton-Raphson’s method for solving the inverse eigenvalue problem in
Oladejo, N. K.
core   +2 more sources

Stability algorithms for Newton-Raphson method in load flow analysis

open access: yes, 2010
This paper deals with possible algorithms, which may ensure numerical stability of Newton-Raphson method in load flow analysis. Although the Newton-Raphson method is frequently used, it may have difficulties to obtain convergence.
Veleba, Jan
core  

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