Results 51 to 60 of about 198 (163)
Concurrent Optimization of Structures and Anisotropic Materials for Mechanical Cloaking
International Journal for Numerical Methods in Engineering, Volume 126, Issue 6, 30 March 2025.ABSTRACT This paper studies the concurrent optimization of structural topologies and material properties for mechanical cloaking problems, in which the macrostructures, microstructures, and novel spatially‐varying microstructure orientations of the cloaking devices are simultaneously considered and form a multiscale topology optimization problem.
Yifu Lu, Liyong Tong
wiley +1 more source
Riemannian Shape Optimization of Thin Shells Using Isogeometric Analysis
Proceedings in Applied Mathematics and Mechanics, Volume 25, Issue 1, March 2025.ABSTRACT In this contribution, we consider the optimal shape design of thin elastic shell structures based on a linearized shell model of Koiter's type, whose shape can be described by a surface immersed in three‐dimensional Euclidean space. We regard the set of unparametrized immersions of the surface as an infinite‐dimensional Riemannian shape space ...
Rozan Rosandi, Bernd Simeon
wiley +1 more source
Computer-Aided Civil and Infrastructure Engineering, Volume 40, Issue 7, Page 841-858, 10 March 2025.Abstract Accurately predicting the dynamics of complex systems governed by partial differential equations (PDEs) is crucial in various applications. Traditional numerical methods such as finite element methods (FEMs) offer precision but are resource‐intensive, particularly at high mesh resolutions.
Mehdi Taghizadeh +2 more
wiley +1 more source
On the Use of Block Low Rank Preconditioners for Primal Domain Decomposition Methods
International Journal for Numerical Methods in Engineering, Volume 126, Issue 3, 15 February 2025.ABSTRACT This article investigates the use of the block low rank (BLR) factorization, recently proposed in the MUMPS solver, to define efficient and cheap preconditioners for primal domain decomposition methods, such as the Balancing Domain Decomposition method (BDD) and its adaptive multipreconditioned variant.
Christophe Bovet +2 more
wiley +1 more source
The p-adaptive biem version in elastostatics
Mathematical and Computer Modelling, 1991 This paper introduces the p-adaptive version of the boundary element method as a natural extension of the homonymous finite element approach. After a brief introduction to adaptive techniques through their finite element formulation in elastostatics, the concepts are cast into the boundary element environment.
Alarcón Álvarez, Enrique +3 more
openaire +3 more sources
Micropolar Elastoplasticity Using a Fast Fourier Transform‐Based Solver
International Journal for Numerical Methods in Engineering, Volume 126, Issue 1, 15 January 2025.ABSTRACT This work presents a micromechanical spectral formulation for obtaining the full‐field and homogenized response of elastoplastic micropolar composites. A closed‐form radial‐return mapping is derived from thermodynamics‐based micropolar elastoplastic constitutive equations to determine the increment of plastic strain necessary to return the ...
Noah M. Francis +3 more
wiley +1 more source
A MLPG4 (LBIE) Formulation in Elastostatics
Computers, Materials & Continua, 2007 Very recently, Vavourakis, Sellountos and Polyzos (2006) ({CMES: Computer Modeling in Engineering {\&} Sciences, vol. 13, pp. 171--184}) presented a comparison study on the accuracy provided by five different elastostatic Meshless Local Petrov-Galerkin (MLPG) type formulations, which are based on Local Boundary Integral Equation (LBIE) considerations ...
Vavourakis, V., Polyzos, D.
openaire +2 more sources
Root finding method for problems of elastodynamics
Computer Assisted Methods in Engineering and Science, 2017 This paper presents a simple and efficient method for finding complex roots of dispersion equations occurring in many problems of elastodynamics. The method is characterized by high accuracy in root finding and absence of restrictions on function ...
Anastasiya A. Krushynska
doaj
An Extended BEM Model for 2-D Elasticity Problems
MathematicsWithin the framework of Somigliana’s displacement and traction identities, we propose an extended equivalent elastic model that enables a BEM that is singularity-free in the primary solution stage for two-dimensional elastostatics. The central idea is to
Lei Zhou, Chunguang Li, Hong Zheng
doaj +1 more source
Comparison of Structural Analysis of Thin-Walled Structures Accomplished by Isogeometric Analysis and the Finite Element Method. [PDF]
Materials (Basel), 2022 Bocko J +3 more
europepmc +1 more source