Results 141 to 150 of about 5,172 (299)
Convergence of solutions of fractional differential equations to power-type functions
Electronic Journal of Differential Equations, 2020 In this article we study the asymptotic behavior of solutions of some fractional differential equations. We prove convergence to power type functions under some assumptions on the nonlinearities.
Mohammed Dahan Kassim +1 more
doaj
Fractional Opial Type Inequalities and Fractional Differential Equations
, 2002 A set of very general Opial type inequalities ([7]) is established involving fractional derivatives of different orders. These are based on Taylor’s formula for fractional derivatives.
Anastassiou, George A. +1 more
core +1 more source
Advanced Engineering Materials, EarlyView.A simplified thermoplastic pultrusion model is developed to predict thermal fields in glass fiber/polyethylene terephthalate (GF/PET) composites with reduced computational cost. By combining effective material homogenization, validation against literature data, and Gaussian‐process‐based optimization, the study reveals how heating limits, pulling speed,
Elder Soares +3 more
wiley +1 more source
Advanced Engineering Materials, EarlyView.Phase‐field simulations coupled with dislocation‐density‐based crystal plasticity modeling reproduce γ′ rafting behavior in single‐crystal Ni‐based superalloys under varied loading conditions. The model captures both macroscopic creep and microscopic morphology evolution, with results matching high‐temperature creep experiments.
Micheal Younan +5 more
wiley +1 more source
On Discrete Fractional Solutions of Non-Fuchsian Differential Equations
, 2018 In this article, we obtain new fractional solutions of the general class of non-Fuchsian differential equations by using discrete fractional nabla operator ∇ η ( 0 < η < 1 ) .
Resat Yilmazer +2 more
core +1 more source
Advanced Engineering Materials, EarlyView.Additive manufacturing provides precise control over the placement of continuous fibres within polymer matrices, enabling customised mechanical performance in composite components. This article explores processing strategies, mechanical testing, and modelling approaches for additive manufactured continuous fibre‐reinforced composites.
Cherian Thomas, Amir Hosein Sakhaei
wiley +1 more source
Phase Field Failure Modeling: Brittle‐Ductile Dual‐Phase Microstructures under Compressive Loading
Advanced Engineering Materials, EarlyView.The approach by Amor and the approach by Miehe and Zhang for asymmetric damage behavior in the phase field method for fracture are compared regarding their fitness for microcrack‐based failure modeling. The comparison is performed for the case of a dual‐phase microstructure with a brittle and a ductile constituent.
Jakob Huber, Jan Torgersen, Ewald Werner
wiley +1 more source
, 2007 考虑非线性分数阶常微分方程组,利用Riemann-Liouville分数阶导数的高阶近似,建立分数阶微分方程组的高阶差分格式,并证明了该方法的相容性、收敛性和稳定性.最后给出数值例子,证实了分数阶高阶近似法是解非线性分数阶常微分方程组的有效方法.In this paper,a system of the nonlinear fractional ordinary differential equations is considered.In light of the high order ...
庄平辉, 林永华, 刘发旺
core
Karl Popper and the Mechanisms of Hydrogen Embrittlement
Advanced Engineering Materials, EarlyView.Representation of the beginning of loss of ductility rather than embrittlement. Small concentrations of hydrogen in a diffusible form within iron are well‐established to harm the mechanical integrity of steels. There are theories that attempt to explain the pernicious role of hydrogen.
H. K. D. H. Bhadeshia
wiley +1 more source
Optimising neural fractional differential equations for performance and efficiency
Neural Ordinary Differential Equations (NODEs) are well-established architectures that fit an ODE, modelled by a neural network (NN), to data, effectively modelling complex dynamical systems.
Niggemann, Oliver +2 more
core +1 more source