Results 71 to 80 of about 230,153 (288)

Analogue Sochocky formulae for integral operators with additional logarithmic singularity

Журнал Белорусского государственного университета: Математика, информатика, 2018
In this paper we prove the limit formulas for singular integrals of the form. Limit values of such integrals are expressed in terms of singular integral operators and also integral operators.
Vitold V. Kashevski
doaj  

On the solution of integral equations with a generalized cauchy kernel [PDF]

In this paper a certain class of singular integral equations that may arise from the mixed boundary value problems in nonhomogeneous materials is considered. The distinguishing feature of these equations is that in addition to the Cauchy singularity, the
Erdogan, F., Kaya, A. C.
core   +1 more source

Rafting of Ni‐Based Superalloys Under Multiaxial Load as Understood by Phase‐Field Simulations and Critical Experiments

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, David Bürger, Gunther Eggeler, Oleg Shchyglo, Ingo Steinbach, Muhammad Adil Ali   +5 more
wiley   +1 more source

System of singular integral equations in the problem of electromagnetic oscillations of a graphene-coated dielectric ball

Известия высших учебных заведений. Поволжский регион: Физико-математические науки
Background. Boundary value transmission problems for a system of Maxwell's equations are fundamental in electrodynamics. Recently, there has been interest in problems involving the presence of a thin layer of graphene on the surface, which changes the ...
Yu.G. Smirnov, O.V. Kondyrev
doaj   +1 more source

Fast algorithms for Quadrature by Expansion I: Globally valid expansions

, 2017
The use of integral equation methods for the efficient numerical solution of PDE boundary value problems requires two main tools: quadrature rules for the evaluation of layer potential integral operators with singular kernels, and fast algorithms for ...
Klöckner, Andreas, O'Neil, Michael, Rachh, Manas   +2 more
core   +1 more source

Additive Manufacturing of Continuous Fibre Reinforced Composites: Process, Characterisation, Modelling, and Sustainability

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

Multimodal Data‐Driven Microstructure Characterization

Advanced Engineering Materials, EarlyView.
A self‐consistent autonomous workflow for EBSP‐based microstructure segmentation by integrating PCA, GMM clustering, and cNMF with information‐theoretic parameter selection, requiring no user input. An optimal ROI size related to characteristic grain size is identified.
Qi Zhang, Santiago Benito, Özge Özgün, Sebastian Weber, Markus Stricker   +4 more
wiley   +1 more source

Some New Nonlinear Weakly Singular Integral Inequalities of Wendroff Type with Applications

Journal of Inequalities and Applications, 2008
Some new weakly singular integral inequalities of Wendroff type are established, which generalized some known weakly singular inequalities for functions in two variables and can be used in the analysis of various problems in the theory of certain classes
Ma Qing-Hua, Tseng Shiojenn, Cheung Wing-Sum   +2 more
doaj  

Numerical quadrature methods for integrals of singular periodic functions and their application to singular and weakly singular integral equations [PDF]

High accuracy numerical quadrature methods for integrals of singular periodic functions are proposed. These methods are based on the appropriate Euler-Maclaurin expansions of trapezoidal rule approximations and their extrapolations.
Israeli, M., Sidi, A.
core   +1 more source

Enhanced Strength and Corrosion Resistance of Ti‐13Nb‐12Ta‐10Zr‐4Sn Alloy by Aging Treatment

Advanced Engineering Materials, EarlyView.
This work systematically investigates the effect of aging treatment on mechanical properties and corrosion behavior of vacuum arc‐melted Ti‐13Nb‐12Ta‐10Zr‐4Sn alloy. Owing to the increased α″ martensite, strength and corrosion resistance were significantly enhanced by aging treatment.
Yuhua Li, Rong Zhao, Qian Zhang, Haojie Wang, Yujing Liu, Lai‐Chang Zhang   +5 more
wiley   +1 more source