International Journal for Numerical Methods in Engineering

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Element‐free Galerkin methods
International Journal for Numerical Methods in Engineering - Tập 37 Số 2 - Trang 229-256 - 1994
Ted Belytschko, Ye Lu, Linxia Gu
AbstractAn element‐free Galerkin method which is applicable to arbitrary shapes but requires only nodal data is applied to elasticity and heat conduction problems. In this method, moving least‐squares interpolants are used to construct the trial and test functions for the variational principle (weak form); the dependent variable and its gradient are continuous in t...... hiện toàn bộ
Implicit dynamic analysis using an isogeometric Reissner–Mindlin shell formulation
International Journal for Numerical Methods in Engineering - Tập 110 Số 9 - Trang 803-825 - 2017
Paul Sobota, Wolfgang Dornisch, Ralf Müller, Sven Klinkel
SummaryIn isogeometric analysis, identical basis functions are used for geometrical representation and analysis. In this work, non‐uniform rational basis splines basis functions are applied in an isoparametric approach. An isogeometric Reissner–Mindlin shell formulation for implicit dynamic calculations using the Galerkin method is presented. A consistent as well a...... hiện toàn bộ
Static, free vibration, and buckling analysis of laminated composite Reissner–Mindlin plates using NURBS‐based isogeometric approach
International Journal for Numerical Methods in Engineering - Tập 91 Số 6 - Trang 571-603 - 2012
Chien H. Thai, H. Nguyen‐Xuan, Nhon Nguyen‐Thanh, T‐H. Le, T. Nguyen‐Thoi, Timon Rabczuk
SUMMARYThis paper presents a novel numerical procedure based on the framework of isogeometric analysis for static, free vibration, and buckling analysis of laminated composite plates using the first‐order shear deformation theory. The isogeometric approach utilizes non‐uniform rational B‐splines to implement for the quadratic, cubic, and quartic elements. Shear loc...... hiện toàn bộ
Weakening the tight coupling between geometry and simulation in isogeometric analysis: From sub‐ and super‐geometric analysis to Geometry‐Independent Field approximaTion (GIFT)
International Journal for Numerical Methods in Engineering - Tập 114 Số 10 - Trang 1131-1159 - 2018
Elena Atroshchenko, Satyendra Tomar, Gang Xu, Stéphane Bordas
SummaryThis paper presents an approach to generalize the concept of isogeometric analysis by allowing different spaces for the parameterization of the computational domain and for the approximation of the solution field. The method inherits the main advantage of isogeometric analysis, ie, preserves the original exact computer‐aided design geometry (for example, giv...... hiện toàn bộ
Geometrically non‐linear enhanced strain mixed methods and the method of incompatible modes
International Journal for Numerical Methods in Engineering - Tập 33 Số 7 - Trang 1413-1449 - 1992
J. C. Simo, F. Armero
AbstractA class of ‘assumed strain’ mixed finite element methods for fully non‐linear problems in solid mechanics is presented which, when restricted to geometrically linear problems, encompasses the classical method of incompatible modes as a particular case. The method relies crucially on a local multiplicative decomposition of the defo...... hiện toàn bộ
A class of mixed assumed strain methods and the method of incompatible modes
International Journal for Numerical Methods in Engineering - Tập 29 Số 8 - Trang 1595-1638 - 1990
J. C. Simo, M. S. Rifai
AbstractA three‐field mixed formulation in terms of displacements, stresses and an enhanced strain field is presented which encompasses, as a particular case, the classical method of incompatible modes. Within this frame‐work, incompatible elements arise as particular ‘compatible’ mixed approximations of the enhanced strain field. The con...... hiện toàn bộ
An 8‐node brick finite element
International Journal for Numerical Methods in Engineering - Tập 20 Số 3 - Trang 523-528 - 1984
Matti J. Loikkanen, Bruce M. Irons
AbstractAn 8‐node brick element based on the assumed stress hybrid formulation is described. With three additional stress fields, the element stiffness matrix now has the required rank of 18, and the ‘bending’ response is exact with rectangular elements. Surprisingly, the 2 × 2 × 2 Gauss rule suffices for all numerical integrations, to satisfy the constant stress p...
The generalized Riemann problem method for the shallow water equations with bottom topography
International Journal for Numerical Methods in Engineering - Tập 65 Số 6 - Trang 834-862 - 2006
Jiequan Li, Guoxian Chen
AbstractThis paper extends the generalized Riemann problem method (GRP) to the system of shallow water equations with bottom topography. The main contribution is that the generalized Riemann problem method (J. Comput. Phys. 1984; 55(1):1–32) is used to evaluate the midpoint values of solutions at each cell interface...... hiện toàn bộ
A general procedure for the direct computation of turning and bifurcation points
International Journal for Numerical Methods in Engineering - Tập 30 Số 1 - Trang 155-176 - 1990
Peter Wriggers, J. C. Simo
On the evaluation of damping in MEMS in the slip-flow regime
International Journal for Numerical Methods in Engineering - Tập 68 Số 10 - Trang 1031-1051 - 2006
Alejandro F. Frangi, G. Spinola, Benedetto Vigna
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