[HTML][HTML] Combining peridynamic and finite element simulations to capture the corrosion of degradable bone implants and to predict their residual strength

A Hermann, A Shojaei, D Steglich, D Höche… - International journal of …, 2022 - Elsevier
This paper proposes a computational framework to describe the biodegradation of
magnesium (Mg)-based bone implants. It is based on a sequential combination of two …

A novel Trefftz-based meshfree method for free vibration and buckling analysis of thin arbitrarily shaped laminated composite and isotropic plates

AR Motamedi, N Noormohammadi… - Computers & Mathematics …, 2023 - Elsevier
A novel meshfree local method is developed in the context of Trefftz approaches to solve
eigenvalue problems related to buckling and free vibration of arbitrarily shaped thin plates …

A generalized finite difference method based on the Peridynamic differential operator for the solution of problems in bounded and unbounded domains

A Shojaei, U Galvanetto, T Rabczuk, A Jenabi… - Computer Methods in …, 2019 - Elsevier
In this paper, a generalized finite difference method (GFDM) based on the Peridynamic
differential operator (PDDO) is investigated. The weighted moving least square (MLS) …

A Trefftz based meshfree local method for bending analysis of arbitrarily shaped laminated composite and isotropic plates

AR Motamedi, B Boroomand… - Engineering Analysis with …, 2022 - Elsevier
A simple meshfree method is developed in the context of Trefftz approaches to solve
bending problem of arbitrarily shaped laminated composite and isotropic plates. Widely …

Coupling of 2D discretized peridynamics with a meshless method based on classical elasticity using switching of nodal behaviour

A Shojaei, M Zaccariotto, U Galvanetto - Engineering Computations, 2017 - emerald.com
Purpose The paper aims to use a switching technique which allows to couple a nonlocal
bond-based Peridynamic approach to the Meshless Local Exponential Basis Functions …

Dirichlet‐type absorbing boundary conditions for peridynamic scalar waves in two‐dimensional viscous media

A Hermann, A Shojaei, P Seleson… - International Journal …, 2023 - Wiley Online Library
Construction of absorbing boundary conditions (ABCs) for nonlocal models is generally
challenging, primarily due to the fact that nonlocal operators are commonly associated with …

On the simulation of image-based cellular materials in a meshless style

SM Mirfatah, B Boroomand - Computers & Mathematics with Applications, 2021 - Elsevier
A meshfree method on fixed grids is devised for simulation of Poisson's equation on 3D
image-based cellular materials. The non-boundary fitted discretization of such jagged voxel …

A simple meshfree method based on Trefftz attitude for 2D and 3D elasticity problems

N Noormohammadi, D Afifi, O Bateniparvar - Engineering Analysis with …, 2023 - Elsevier
A simple meshfree method is developed for the solution of 2D and 3D elasticity problems in
potentially heterogeneous media. The rationale of the method follows that of Trefftz …

A meshfree method for the solution of 2D and 3D second order elliptic boundary value problems in heterogeneous media

N Noormohammadi, D Afifi, B Boroomand… - … and Computers in …, 2023 - Elsevier
We propose a simple meshfree method for two-dimensional and three-dimensional second
order elliptic boundary value problems in heterogeneous media based on equilibrated basis …

Equilibrated basis functions for static analysis of in-plane heterogeneous laminated composite plates in boundary and meshfree approaches

M Azizpooryan, N Noormohammadi… - Iranian Journal of …, 2022 - Springer
In this paper, static analysis of in-plane heterogeneous laminated composite plates is
studied using equilibrated basis functions in a meshfree style based on first order shear …