Author
Robert L. Harder
Bio: Robert L. Harder is an academic researcher. The author has contributed to research in topics: Shell (structure) & Finite element method. The author has an hindex of 4, co-authored 5 publications receiving 1191 citations.
Papers
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TL;DR: A proposed standard set of test problems is described and applied to representative quadrilateral plate and solid brick finite elements, some of which have become de facto standards for comparing the accuracy of finite elements.
988 citations
TL;DR: Three modifications are proposed whose combined effect is to correct deficiencies of Cook's four-noded quadrilateral while preserving satisfaction of the C 0 patch test and improved accuracy for the modified element rivaling, and in some cases exceeding, that of the eight- noded isoparametric with reduced order integration.
190 citations
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TL;DR: In this paper, it was shown that a simple modification of the shape functions of an eight-noded element can make this advantage disappear and test results confirm this result and show that the performance of a modified eight-ns element is similar to that of recently reported nine-ns.
Abstract: The chief advantage claimed for nine-noded shell elements is that they can pass constant curvature patch tests with bilinear element geometry while eight-noded shell elements cannot. It is shown that a simple modification of the shape functions of an eight-noded element can make this advantage disappear. Test results confirm this result and show that the performance of a modified eight-noded element is similar to that of recently reported nine-noded elements.
42 citations
TL;DR: In this paper, the singularity of rotation about the normal to a shell's surface is shown to be defective and a new method is described in which a unique normal is constructed at each node and automatically constrained.
20 citations
TL;DR: In this article, a general-purpose fluid-structure interaction capability which can be used in analyzing internal acoustic problems in automobiles and aircraft has been formulated, and a variety of output features that are needed by the analyst in identifying the causes of the acoustic problems have been studied and implemented.
4 citations
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17 Aug 2012
TL;DR: De Borst et al. as mentioned in this paper present a condensed version of the original book with a focus on non-linear finite element technology, including nonlinear solution strategies, computational plasticity, damage mechanics, time-dependent effects, hyperelasticity and large-strain elasto-plasticity.
Abstract: Built upon the two original books by Mike Crisfield and their own lecture notes, renowned scientist Rene de Borst and his team offer a thoroughly updated yet condensed edition that retains and builds upon the excellent reputation and appeal amongst students and engineers alike for which Crisfield's first edition is acclaimed. Together with numerous additions and updates, the new authors have retained the core content of the original publication, while bringing an improved focus on new developments and ideas. This edition offers the latest insights in non-linear finite element technology, including non-linear solution strategies, computational plasticity, damage mechanics, time-dependent effects, hyperelasticity and large-strain elasto-plasticity. The authors' integrated and consistent style and unrivalled engineering approach assures this book's unique position within the computational mechanics literature.
2,568 citations
TL;DR: It is shown how h, p and h- p adaptivity can be implemented in the h-p cloud method without traditional grid concepts typical of finite element methods.
917 citations
TL;DR: In this article, a nonlinear Kirchhoff-love shell element is developed on the basis of the isogeometric approach, which is discretized by displacement degrees of freedom only.
847 citations
TL;DR: In this paper, the authors developed a new paradigm for thin-shell finite-element analysis based on the use of subdivision surfaces for describing the geometry of the shell in its undeformed configuration, and generating smooth interpolated displacement fields possessing bounded energy within the strict framework of the Kirchhoff-love theory of thin shells.
Abstract: We develop a new paradigm for thin-shell finite-element analysis based on the use of subdivision surfaces for (i) describing the geometry of the shell in its undeformed configuration, and (ii) generating smooth interpolated displacement fields possessing bounded energy within the strict framework of the Kirchhoff–Love theory of thin shells. The particular subdivision strategy adopted here is Loop's scheme, with extensions such as required to account for creases and displacement boundary conditions. The displacement fields obtained by subdivision are H2 and, consequently, have a finite Kirchhoff–Love energy. The resulting finite elements contain three nodes and element integrals are computed by a one-point quadrature. The displacement field of the shell is interpolated from nodal displacements only. In particular, no nodal rotations are used in the interpolation. The interpolation scheme induced by subdivision is non-local, i.e. the displacement field over one element depend on the nodal displacements of the element nodes and all nodes of immediately neighbouring elements. However, the use of subdivision surfaces ensures that all the local displacement fields thus constructed combine conformingly to define one single limit surface. Numerical tests, including the Belytschko et al. [10] obstacle course of benchmark problems, demonstrate the high accuracy and optimal convergence of the method.
656 citations
Book•
01 Jan 1990TL;DR: In this article, the finite element displacement method was used for the analysis of free vibration of plates and shells, and for the simulation of forced response and forced response analysis of rigid and flexible plates.
Abstract: 1 Formulation of the equations of motion 2 Element energy functions 3 Introduction to the finite element displacement method 4 In-plane vibration of plates 5 Vibration of solids 6 Flexural vibration of plates 7 Vibration of stiffened plates and folded plate structures 8 Vibration of shells 9 Vibration of laminated plates and shells 10 Hierarchical finite element method 11 Analysis of free vibration 12 Forced response 13 Forced response II 14 Computer analysis technique
592 citations