Hybrid fundamental solution based finite element method: theory and applications

C Cao, QH Qin - Advances in Mathematical Physics, 2015 - Wiley Online Library
An overview on the development of hybrid fundamental solution based finite element
method (HFS‐FEM) and its application in engineering problems is presented in this paper …

Thermal analysis of multilayer coated fiber-reinforced composites by the hybrid Trefftz finite element method

Z She, K Wang, P Li - Composite Structures, 2019 - Elsevier
A hybrid Trefftz finite element method (HT-FEM) that incorporates the details of
heterogeneity, is proposed for capturing the thermal behavior of multilayer coated fiber …

An effective membrane element based on analytical solution

M Rezaiee-Pajand, M Karkon - European Journal of Mechanics-A/Solids, 2013 - Elsevier
Based on hybrid variational principle and analytical solution, a simple and efficient four-
node hybrid stress membrane element with drilling degrees of freedom is developed. The …

An iterative plane stress integrated Transformation Field Analysis for Equivalent Homogeneous Medium characterization and localization—Application to structural …

N Leconte, B Langrand, S Kruch - International Journal of Solids and …, 2023 - Elsevier
Full-scale structure models of high-energy situations exhibited insufficient localization when
connector elements were employed to model the assemblies. An alternative approach using …

[HTML][HTML] Two efficient hybrid-Trefftz elements for plate bending analysis

M Rezaiee-Pajand, M Karkon - Latin American Journal of Solids and …, 2012 - SciELO Brasil
This study is devoted to the analysis of the Reissner-Mindlin plate bending. In this paper, the
hybrid-Trefftz strategy will be utilized. Two novel and efficient elements are formulated in …

Thermal analysis of elliptical fiber-reinforced composites by the hybrid Trefftz finite element method

Z She, K Wang, H Liu - International Journal of Heat and Mass Transfer, 2019 - Elsevier
A hybrid Trefftz finite element method (HT-FEM) is developed for microstructural modeling of
fiber-reinforced composites and porous materials. In this method, each polygon contains an …

An analytical solution for multiple inclusions subject to a general applied thermal field

MT Ebrahimi, DS Balint, D Dini - Journal of Thermal Stresses, 2023 - Taylor & Francis
In this study, we present a general numerical solution to the thermoelastic problem of
interacting elliptical inhomogeneities in an infinite matrix material. Our solution provides a …

Special inclusion elements for thermal analysis of composite materials

K Wang, R Zeng, P Li, H Cen - Engineering Analysis with Boundary …, 2024 - Elsevier
A novel fundamental solution based finite element method (HFS-FEM) is proposed to
analyze heat conduction problem of two-dimensional composite materials. In the proposed …

Trefftz-type FEM for solving orthotropic potential problems

KY Wang, PC Li, DZ Wang - Latin American Journal of Solids and …, 2014 - SciELO Brasil
A simple Trefftz-type finite element method (TFEM) is proposed for solving certain potential
problems in orthotropic media. The" body force", which is induced by internal sources or …

Special hole elements for simulating the heat conduction in two-dimensional cellular materials

Z Xia, K Wang, F Ge - Composite Structures, 2020 - Elsevier
The hybrid Trefftz finite element method (HT-FEM) employs the T-complete solutions as
domain approximation bases, providing a cheap boundary-type approach to simulate the …