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
A meshfree Hermite-type radial point interpolation method for Kirchhoff plate problems
International Journal for Numerical Methods in Engineering - Tập 66 Số 7 - Trang 1153-1178 - 2006
Y. Liu, Y.C. Hon, K.M. Liew
New bounding techniques for goal‐oriented error estimation applied to linear problems
International Journal for Numerical Methods in Engineering - Tập 93 Số 13 - Trang 1345-1380 - 2013
Pierre Ladevèze, Florent Pled, Ludovic Chamoin
SUMMARYThe paper deals with the accuracy of guaranteed error bounds on outputs of interest computed from approximate methods such as the finite element method. A considerable improvement is introduced for linear problems, thanks to new bounding techniques based on Saint‐Venant's principle. The main breakthrough of these optimized bounding techniques is the use of p...... 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
Constraint reduction procedures for reduced‐order subsurface flow models based on POD–TPWL
International Journal for Numerical Methods in Engineering - Tập 103 Số 1 - Trang 1-30 - 2015
Junjing He, Louis J. Durlofsky
SummaryThe properties and numerical performance of reduced‐order models based on trajectory piecewise linearization (TPWL) and proper orthogonal decomposition (POD) are assessed. The target application is subsurface flow modeling, although our findings should be applicable to a range of problems. The errors arising at each step in the POD–TPWL procedure are describ...... hiện toàn bộ
Application of dynamic programming to the general inverse problem
International Journal for Numerical Methods in Engineering - Tập 12 Số 4 - Trang 613-624 - 1978
David Trujillo
AbstractThe general inverse problem is one for which measurements are made on some of the state variables and it is desired to find the forcing functions. This problem is a natural one for the method of dynamic programming. The formulation and solution of the problem are presented in matrix form, together with two illustrative examples of an inverse heat conduction...... hiện toàn bộ
Three‐dimensional extension of non‐linear shell formulation based on the enhanced assumed strain concept
International Journal for Numerical Methods in Engineering - Tập 37 Số 15 - Trang 2551-2568 - 1994
N. Büchter, Ekkehard Ramm, Deane Roehl
AbstractConventional shell formulations, such as 3‐ or 5‐parameter theories or even 6‐parameter theories including the thickness change as extra parameter, require a condensation of the constitutive law in order to avoid a significant error due to the assumption of a linear displacement field across the thickness. This means that the normal stress in thickness dire...... hiện toàn bộ
Relations between incompatible displacement model and hybrid stress model
International Journal for Numerical Methods in Engineering - Tập 22 Số 1 - Trang 173-181 - 1986
T. H. H. Pian, Pin Tong
AbstractAn examination of the variational formulations confirms the similarity between the incompatible displacement model and the assumed stress hybrid model that was pointed out by Irons in 1972. But the basic differences between the two are also identified. For 8‐node solid elements the assumed stress terms obtained through a rational procedure also agree with t...... hiện toàn bộ
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