Results 81 to 90 of about 615,027 (289)

Stiffness Matrix of Nonlinear FEM Equilibrium Equation

Procedia Engineering, 2012
AbstractFor structural stability analysis, either tangent stiffness matrix or secant stiffness matrix is used depending on different situations. In this study, the general mathematic relationship between structural secant and tangent stiffness matrices is developed in detail based on Taylor series expression of the total potential energy. The result is
Jian, Liu, Yun, Tian, Yumei, Li
openaire   +1 more source

High‐Temperature Nanoindentation of Metals: Assessing Thermal Drift, Frame Compliance, and Chemical Composition Effects on the Reported Mechanical Properties

Advanced Engineering Materials, EarlyView.
Do not let thermal drift and instrument artifacts deceive high‐temperature nanoindentation results. We compare classical Oliver–Pharr and automatic image recognition analyses across steels and a Ni alloy to quantify these effects. Accounting for artifacts reveals systematic softening with temperature, while Cr and Ni additions boost resistance ...
Velislava Yonkova, Steffen Brinckmann, Ruth Schwaiger   +2 more
wiley   +1 more source

Solving Fuzzy Volterra Integrodifferential Equations of Fractional Order by Bernoulli Wavelet Method

Advances in Fuzzy Systems, 2018
A matrix method called the Bernoulli wavelet method is presented for numerically solving the fuzzy fractional integrodifferential equations. Using the collocation points, this method transforms the fuzzy fractional integrodifferential equation to a ...
R. Mastani Shabestari, R. Ezzati, T. Allahviranloo   +2 more
doaj   +1 more source

Numerical study of a class of variable order nonlinear fractional differential equation in terms of Bernstein polynomials

Ain Shams Engineering Journal, 2018
In this paper, we use Bernstein polynomials to seek the numerical solution of a class of nonlinear variable order fractional differential equation. The fractional derivative is described in the Caputo sense.
Yi-ming Chen, Li-qing Liu, Dayan Liu, Driss Boutat   +3 more
doaj   +1 more source

Integrable discretizations of derivative nonlinear Schroedinger equations

, 2002
We propose integrable discretizations of derivative nonlinear Schroedinger (DNLS) equations such as the Kaup-Newell equation, the Chen-Lee-Liu equation and the Gerdjikov-Ivanov equation by constructing Lax pairs.
Ablowitz M J, Athorne C, Chen H H, Clarkson P A, Clarkson P A, Clarkson P A, Date E, Fan E, Fordy A P, Gerdjikov V S, Gerdjikov V S, Gerdjikov V S, Hirota R, Hirota R, Hirota R, Hirota R, Ishimori Y, Kakei S, Kako F, Kaup D J, Kaup D J, Kawata T, Konopelchenko B G, Kulish P P, Kundu A, Kuznetsov E A, Levi D, Manakov S V, Merola I, Olver P J, Sakovich S Yu, Sasa N, Shabat A B, Sokolov V V, Suris Y B, Takayuki Tsuchida, Tsuchida T, Tsuchida T, Tsuchida T, Vakhnenko O O, van der Linden J, Wadati M, Wadati M, Wadati M, Wadati M, Yajima N, Zakharov V E, Zakharov V E   +47 more
core   +1 more source

Workflow for Design of Experiments‐Based Modeling of Species Transport and Growth Kinetics in GaN Hydride Vapor Phase Epitaxy

Advanced Engineering Materials, EarlyView.
A novel workflow for investigating hydride vapor phase epitaxy for GaN bulk crystal growth is proposed. It combines Design of experiments (DoE) with physical simulations of mass transport and crystal growth kinetics, serving as an intermediate step between DoE and experiments.
J. Tomkovič, G. Lukin, H. Torkashvand, A. Kerschbaum, M. Müller, S. Besendörfer, J. Heitmann, J. Friedrich   +7 more
wiley   +1 more source

Tests of Integrability of the Supersymmetric Nonlinear Schrodinger Equation

, 1994
We apply various conventional tests of integrability to the supersymmetric nonlinear Schr\"odinger equation. We find that a matrix Lax pair exists and that the system has the Painlev\'e property only for a particular choice of the free parameters of the ...
Ashok Das, J. C. Brunelli, Zakharov V. E.   +2 more
core   +2 more sources

Electrochemical Behavior of Flame‐Sprayed Sc‐Doped AlCoCrFeMo High‐Entropy Alloy Coatings in 3.5% Sodium Chloride Solution

Advanced Engineering Materials, EarlyView.
Scandium (Sc)‐doped AlCoCrFeMo HEA coatings are fabricated via flame spraying with 0.1, 0.3, and 0.5 wt% Sc additions. Among these, the HEA‐Sc0.3 coating exhibits the highest corrosion resistance, indicated by a more positive corrosion potential and lower current density.
Pankaj Kumar, Akash Vyas, Mohammad Aatif Qazi, Nashit Jalal, Maria Ophelia Jarligo, Mostafa Yakout, Jing Liu, André McDonald   +7 more
wiley   +1 more source

Notes on the Hermitian Positive Definite Solutions of a Matrix Equation

Journal of Applied Mathematics, 2014
The nonlinear matrix equation, X-∑i=1mAi*XδiAi=Q, with -1 ...
Jing Li, Yuhai Zhang
doaj   +1 more source

Application of Differential Equations in Enzyme Kinetics

Chemical Engineering Transactions, 2018
This paper discusses the application of simplified differential transformation method in the solution of nonlinear differential equations and the application of characteristic set method in the analysis of enzyme dynamic system.
Caihong Fan, Ping Li, Yingzhen Xue
doaj   +1 more source