Results 61 to 70 of about 64,585 (264)

Symbolic Regression and Multi‐Objective Optimization of the Flory–Huggins Interaction Parameter for Hydrogels

open access: yesAdvanced Engineering Materials, EarlyView.
We develop a data‐driven method to derive the mathematical expressions of the Flory–Huggins interaction parameter χ for the swelling behavior of temperature–responsive hydrogels. Starting from initial assumptions of χ, our workflow combines Bayesian optimization, Flory–Rehner theory, and symbolic regression to generate candidate χ expressions.
Yawen Wang   +2 more
wiley   +1 more source

An Interpolating Boundary Element-Free Method for Signorini problems

open access: yes四川大学学报. 自然科学版, 2016
Combining the improved interpolating moving least-square (IIMLS) method and boundary integral equations (BIEs), a novel boundary-only meshless method, the interpolating boundary element-free method (IBEFM), is developed for the numerical solution of ...
WANG Yan-Chong, LI Xiao-Lin
doaj  

On Construction of Solutions of Hyperbolic Kirchhoff-Type Problems Involving Free Boundary and Volume Constraint

open access: yesMathematics
In this paper, we have undertaken the challenging and novel task of establishing the existence of weak solutions for four types of hyperbolic Kirchhoff-type problems: the classical hyperbolic Kirchhoff problem, the problem with a free boundary, the ...
Fatima Ezahra Bentata   +3 more
doaj   +1 more source

Fractional Calculus of Variations in Terms of a Generalized Fractional Integral with Applications to Physics

open access: yesAbstract and Applied Analysis, 2012
We study fractional variational problems in terms of a generalized fractional integral with Lagrangians depending on classical derivatives, generalized fractional integrals and derivatives.
Tatiana Odzijewicz   +2 more
doaj   +1 more source

Displacement of oil by water in a single elastic capillary

open access: yesBoundary Value Problems, 2017
In this paper we consider the evolution of a free boundary separating two immiscible viscous fluids with different constant densities. The joint motion of liquids in the solid skeleton is described by Stokes equations coupled with Lamé equations, driven ...
AM Meirmanov, OV Galtsev, RN Zimin
doaj   +1 more source

Microstructure‐Controlled Crack Propagation and Fracture Resistance in MoSiBTiC Alloy Revealed by Multiscale Extended Finite Element Method Modeling

open access: yesAdvanced Engineering Materials, EarlyView.
A two‐dimensional multiscale finite element analysis framework was established for the first‐generation MoSiBTiC alloy, and the mechanical and fracture‐related parameters of the constituent phases were calibrated through experiments and simulations. The framework provides a basis for analyzing crack propagation behavior in its complex microstructure ...
Junfeng Du   +4 more
wiley   +1 more source

Qualitative behavior of axial-symmetric solutions of elliptic free boundary problems

open access: yesElectronic Journal of Differential Equations, 1997
axial-symmetric solutions and qualitative geometric properties of the free boundary are compared to those of the fixed boundary for the axial and radial directions. Counterexamples obtained previously by the first author show that our results cannot hold
Andrew F. Acker, Kirk E. Lancaster
doaj  

Fatigue Crack Initiation and Growth in Nanocrystalline Ni at Multiple Length‐Scales

open access: yesAdvanced Engineering Materials, EarlyView.
Overview of miniaturized in situ SEM fatigue setup and resultant fatigue crack growth data for nanocrystalline Ni. The presented study focuses on the analysis of fatigue crack growth rate (FCGR) in focused ion beam‐notched microcantilevers prepared from nanocrystalline (NC) Ni as a model material.
Igor Moravcik   +7 more
wiley   +1 more source

Perturbation formula for the two-phase membrane problem

open access: yesAdvances in Difference Equations, 2011
A perturbation formula for the two-phase membrane problem is considered. We perturb the data in the right-hand side of the two-phase equation. The stability of the solution and the free boundary with respect to perturbation in the coefficients and ...
Bozorgnia Farid
doaj  

Evaluation of Plasticity and Creep Parameters From Tensile Stress–Strain Data for a Range of Strain Rates

open access: yesAdvanced Engineering Materials, EarlyView.
This plot compares experimental tensile stress–strain curves (with 4 different strain rates) and corresponding modelled curves (obtained using the optimised sets of Voce and Miller–Norton parameter values shown). The inferred M‐N values, characterizing the creep, are very similar to those obtained via conventional creep testing.
S. Ooi, R. P. Thompson, T. W. Clyne
wiley   +1 more source

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