Search Results - complex variables methods applied to problems in fluid (mechanics OR technika)

Advanced Mathematical Modeling and Numerical Solutions in Applied Mechanics and Engineering

“… “Advanced Mathematical Modeling and Numerical Solutions in Applied Mechanics and Engineering…”
Get full text

Comparison of elements and state-variable transfer methods for quasi-incompressible material behaviour in the particle finite element method by Schewe, Markus, Bartel, Thorsten, Menzel, Andreas

“…The Particle Finite Element Method (PFEM) is attractive for the simulation of large deformation problems, e.g…”
Get full text

A new unified arc-length method for damage mechanics problems by Saji, Roshan Philip, Pantidis, Panos, Mobasher, Mostafa E.

“…The numerical solution of continuum damage mechanics (CDM) problems suffers from convergence-related challenges during the material softening stage…”
Get full text

Particle finite element method implementation for large deformation analysis using Abaqus by Yuan, Wei-Hai, Wang, Hao-Cheng, Zhang, Wei, Dai, Bei-Bing, Liu, Kang, Wang, Yuan

“…In this study, a simple PFEM approach for analyzing large deformation problems in geotechnical practice is implemented in the commercial FEM package Abaqus…”
Get full text

The complex variable reproducing kernel particle method for bending problems of thin plates on elastic foundations by Chen, L., Cheng, Y. M.

“…In this paper, the complex variable reproducing kernel particle method (CVRKPM) for solving the bending problems of isotropic thin plates on elastic foundations is presented…”
Get full text

Heat and mass transfer in MHD flow of SWCNT and graphene nanoparticles suspension in Casson fluid by Oke, Abayomi Samuel, Juma, Belindar Atieno, Reddy, Gurrampati Venkatta Ramana

“… solutions for personal safety. This study focuses on the complex phenomena of heat and mass transport within a suspension of CNTs and graphene…”
Get full text

An implicit coupled MPM formulation for static and dynamic simulation of saturated soils based on a hybrid method by Sang, Qin-yang, Xiong, Yong-lin, Zheng, Rong-yue, Bao, Xiao-hua, Ye, Guan-lin, Zhang, Feng

“…The paper presents a refined implicit two-phase coupled Material Point Method (MPM) designed to model poromechanics problems under static and dynamic conditions with stability and robustness…”
Get full text

General solutions of plane problem in one-dimensional quasicrystal piezoelectric materials and its application on fracture mechanics by Yu, Jing, Guo, Junhong, Pan, Ernian, Xing, Yongming

“… The general solutions of the piezoelasticity problem for these QCs are derived by the opera- tor method and the complex variable function method…”
Get full text

Degenerate scales for thin elastic plates with Dirichlet boundary conditions by Corfdir, Alain, Bonnet, Guy

“…A degenerate scale occurs when a loss of uniqueness of the solution of the boundary integral equations happens for that scale of the problem…”
Get full text

Analyzing elastoplastic large deformation problems with the complex variable element-free Galerkin method by Li, D. M., Liew, K. M., Cheng, Y. M.

“…Using the complex variable moving least-squares (CVMLS) approximation, a complex variable element-free Galerkin (CVEFG…”
Get full text

An adaptive wavelet-based collocation method for solving multiscale problems in continuum mechanics by Kaiser, Tobias, Remmers, Joris J. C., Geers, Marc G. D.

“…Computational multiscale methods are highly sophisticated numerical approaches to predict the constitutive response of heterogeneous materials from their underlying microstructures…”
Get full text

Higher order approximation to the Hill problem dynamics about the libration points by Lara, Martin, Pérez, Iván L., López, Rosario

“…, the normalization is approached in complex variables. The validity of the solution extends to energy values considerably far away from that of the libration points and, therefore, can be used in the computation of Halo orbits as an alternative to the classical Lindstedt–Poincaré approach. Furthermore, the theory correctly predicts the existence of the two-lane bridge of periodic orbits linking the families of planar and vertical Lyapunov orbits…”
Get full text

Analytical study of the effect of complex fluid rheology and membrane parameters on heat transfer in fluid flow through a swarm of cylindrical particles by Saini, Amit Kumar, Chauhan, Satyendra Singh, Tiwari, Ashish

“… The structure of the proposed research is configured so that fluid flow near the solid core of the cylindrical particle is governed by the Brinkman-Forchheimer equation with variable permeability…”
Get full text

Functional entropy variables: A new methodology for deriving thermodynamically consistent algorithms for complex fluids, with particular reference to the isothermal Navier–Stokes–Korteweg equations by Liu, Ju, Gomez, Hector, Evans, John A., Hughes, Thomas J.R., Landis, Chad M.

“…–Stokes–Korteweg equations. Our methodology is based on a semi-discrete Galerkin method invoking functional entropy variables, a generalization of classical entropy variables, and a new time integration scheme…”
Get full text

A novel hybrid technique to decompose in-plane thermoelastic displacement fields into thermal and structural displacement fields by Thube, Yogesh S., Gotkhindi, Tejas P.

“…—coupling a low-fidelity FEM and an analytical technique formulated using complex variables…”
Get full text

Robust, strong form mechanics on an adaptive structured grid: efficiently solving variable-geometry near-singular problems with diffuse interfaces by Agrawal, Vinamra, Runnels, Brandon

“…Many solid mechanics problems on complex geometries are conventionally solved using discrete boundary methods…”
Get full text

Integral representations for the double-diffusivity system on the half-line by Chatziafratis, Andreas, Aifantis, Elias C., Carbery, Anthony, Fokas, Athanassios S.

“…A novel method is presented for explicitly solving inhomogeneous initial-boundary-value problems (IBVPs…”
Get full text

Refined probabilistic response and seismic reliability evaluation of high-rise reinforced concrete structures via physically driven dimension-reduced probability density evolution equation by Lyu, Meng-Ze, Chen, Jian-Bing, Shen, Jia-Xu

“… complex structures of large degrees of freedom. In the present paper, a physically driven method for refined probabilistic response and seismic…”
Get full text

Topology optimization of fluid flow by using Integer Linear Programming by Souza, B. C., Yamabe, P. V. M., Sá, L. F. N., Ranjbarzadeh, S., Picelli, R., Silva, E. C. N.

“… In the current implementation of topology optimization for fluids considering density methods, there are essentially three problems…”
Get full text

A stabilized two-phase PD-FEM coupling approach for modeling partially saturated porous media by Sun, Wei, Fish, Jacob, Liu, Fushen, Lu, Yi

“…) layer, while flow fluids are modeled by the finite element method (FEM) layer. Variables dependent on the capillary pressure, such as water saturation…”
Get full text