Results 81 to 90 of about 346,955 (252)

A Topology Optimization Framework for the Inverse Design of Nonlinear Mechanical Metamaterials

Advanced Engineering Materials, EarlyView.
This work uses topology optimization to design unit cells for mechanical metamaterials with a prescribed nonlinear stress–strain response. The framework adds contact and postbuckling modeling to synthesize microstructures for three highly nonlinear responses, including pseudoductile behavior, monostable with snap‐through buckling, and bistable ...
Charlie Aveline, Matthew Santer, Robert Hewson   +2 more
wiley   +1 more source

Fractional Differential Equations and Inclusions with Nonlocal Generalized Riemann-Liouville Integral Boundary Conditions

International Journal of Analysis and Applications, 2017
In this paper, we study a new kind of nonlocal boundary value problems of nonlinear fractional differential equations and inclusions supplemented with nonlocal and generalized Riemann-Liouville fractional integral boundary conditions.
Bashir Ahmad, Sotiris K. Ntouyas, Ahmed Alsaedi   +2 more
doaj   +2 more sources

A Set of Accurate Dispersive Nonlinear Wave Equations

Journal of Marine Science and Engineering
In this study, a set of accurate dispersive nonlinear wave equations is established, using the wave velocity and free surface elevation as variables. These equations improve upon previous equations in which the velocity potential is used as a variable by
Hongwei Bian, Jie Xu, Zhili Zou
doaj   +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

Existence and multiplicity of positive solutions to systems of nonlinear Hammerstein integral equations

Electronic Journal of Differential Equations, 2019
This article studies the existence and multiplicity of component-wise positive solutions for systems of nonlinear Hammerstein integral equations. In this system one nonlinear term is uniformly superlinear or uniformly sublinear, and the other is ...
Xiyou Cheng, Zhaosheng Feng
doaj  

Approximate Analytical Solution for Nonlinear System of Fractional Differential Equations by BPs Operational Matrices

Advances in Mathematical Physics, 2013
We present two methods for solving a nonlinear system of fractional differential equations within Caputo derivative. Firstly, we derive operational matrices for Caputo fractional derivative and for Riemann-Liouville fractional integral by using the ...
Mohsen Alipour, Dumitru Baleanu
doaj   +1 more source

On the Drach superintegrable systems

, 2000
Cubic invariants for two-dimensional degenerate Hamiltonian systems are considered by using variables of separation of the associated St\"ackel problems with quadratic integrals of motion.
A V Tsiganov, Daskaloyannis C, Drach J, Fokas A S, Holt C R, Laplace P-S 1799, Smorodinsky Ya A, Stäckel P, Thompson G, Tsiganov A V, Tsiganov A V, Tsiganov A V, Tsiganov A V, Tsiganov A V, Tsiganov A V, Vanhaecke P, Whittaker E T   +16 more
core   +4 more sources

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

Legendre collocation method and its convergence analysis for the numerical solutions of the conductor-like screening model for real solvents integral equation

Bulletin of Computational Applied Mathematics, 2016
In this paper, a reliable algorithm for solving the nonlinear Hammerstein integral equation arising from chemical phenomenon is presented. The conductor-like screening model for real solvents (COSMO-RS) integral equation will be solved by the shifted ...
Esmail Hesameddini, Mehdi Shahbazi
doaj  

Modification of the Differential Transform Method With Search Direction Along the Spatial Axis

International Journal of Differential Equations
This paper presents a modification of the Differential Transform Method (ModDTM) formulated so that the search direction of the solution is along a spatial axis (x). It is shown that the method is applicable to a wide spectrum of 1+1 partial differential
Helena Nayar, Patrick Azere Phiri
doaj   +1 more source