{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,17]],"date-time":"2026-01-17T20:29:01Z","timestamp":1768681741698,"version":"3.49.0"},"reference-count":18,"publisher":"ASME International","issue":"4","content-domain":{"domain":["asmedigitalcollection.asme.org"],"crossmark-restriction":true},"short-container-title":[],"published-print":{"date-parts":[[2005,12,1]]},"abstract":"<jats:p>The process of finite element analysis that deals with large deformation often produces distorted elements in the later stages of the analysis. These distorted elements lead to analysis problems, such as inaccurate solutions, slow convergence, and premature termination of the analysis. This paper proposes a new mesh generation algorithm to mesh the input part for pure Lagrangian analysis, where our goal is to improve the shape quality of the elements along the analysis process to reduce the number of inverted elements at the later stage, and to decrease the possibility of premature termination of the analysis. One pre-analysis is required to collect geometric and stress information in the analysis. The proposed method then uses the deformed-shape boundary known from the pre-analysis, finds the optimal node locations, considers the stress information to control the mesh sizes, as well as control the mesh directionality, generates meshes on the deformed boundary, and finally, maps the elements back to the undeformed boundary using inverse bilinear mapping. The proposed method has been tested on two forging example problems. The results indicate that the method can improve the shape quality of the elements at the later stage of the analysis, and consequently extend the life of the analysis, thereby reducing the chance of premature analysis termination.<\/jats:p>","DOI":"10.1115\/1.2052829","type":"journal-article","created":{"date-parts":[[2005,11,4]],"date-time":"2005-11-04T18:14:06Z","timestamp":1131128046000},"page":"338-347","update-policy":"https:\/\/doi.org\/10.1115\/crossmarkpolicy-asme","source":"Crossref","is-referenced-by-count":4,"title":["Inverse Pre-deformation of Finite Element Mesh for Large Deformation Analysis"],"prefix":"10.1115","volume":"5","author":[{"given":"Arbtip","family":"Dheeravongkit","sequence":"first","affiliation":[{"name":"The Department of Mechanical Engineering, Carnegie Mellon University, 5000 Forbes Avenue, Pittsburgh, PA 15213"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Kenji","family":"Shimada","sequence":"additional","affiliation":[{"name":"The Department of Mechanical Engineering, Carnegie Mellon University, 5000 Forbes Avenue, Pittsburgh, PA 15213"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"33","published-online":{"date-parts":[[2005,4,29]]},"reference":[{"key":"2019100315383055800_c1","first-page":"323","article-title":"Automated Adaptive Forming Simulations","volume-title":"Proceedings of the 12th International Meshing Roundtable","author":"Wan"},{"key":"2019100315383055800_c2","volume-title":"Simulation of Sheet Metal Forming Processes","author":"Meinders"},{"issue":"7","key":"2019100315383055800_c3","doi-asserted-by":"crossref","first-page":"801","DOI":"10.1002\/(SICI)1097-0207(19990710)45:7<801::AID-NME604>3.0.CO;2-#","article-title":"Adaptive Finite Element Remeshing in a Large Deformation Analysis of Metal Powder Forming","volume":"45","author":"Khoei","journal-title":"Int. J. Numer. Methods Eng.","ISSN":"https:\/\/id.crossref.org\/issn\/0029-5981","issn-type":"print"},{"key":"2019100315383055800_c4","unstructured":"Stoker, C.\n          , 1999, \u201cDevelopments of Arbitrary Lagrangian-Eulerian Method in Non-Linear Solid Mechanics, Applications to Forming Processes,\u201d Thesis University of Twente, ISBN 90-36512646."},{"key":"2019100315383055800_c5","volume-title":"Analysis User\u2019s Manual"},{"key":"2019100315383055800_c6","first-page":"10","article-title":"Ale and Fluid-Structure Interaction Capabilities in Ls-Dyna","volume-title":"7th International Ls-Dyna Users Conference","author":"Souli"},{"key":"2019100315383055800_c7","unstructured":"Souli, M., and Olovsson, L., 2000, \u201cAle and Fluid-Structure Interaction Capabilities in Ls-Dyna,\u201d 6th International LS-Dyna Users Conference, pp. 15-37\u201315-45."},{"key":"2019100315383055800_c8","unstructured":"Souli, M.\n          , 1999, \u201cAn Eulerian and Fluid-Structure Coupling Algorithm in Ls-Dyna,\u201d 5th International LS-Dyna Users Conference."},{"key":"2019100315383055800_c9","volume-title":"Getting Started with ABAQUS\/Explicit"},{"key":"2019100315383055800_c10","doi-asserted-by":"crossref","volume-title":"Metal Forming Analysis","author":"Wagoner","DOI":"10.1017\/CBO9781139087070"},{"key":"2019100315383055800_c11","doi-asserted-by":"publisher","first-page":"1331","DOI":"10.1002\/nme.1620330702","article-title":"The Super-Convergent Patch Recovery and a Posteriori Error Estimates, Part 1: The Recovery Technique","volume":"33","author":"Zienkiewicz","journal-title":"Int. J. Numer. Methods Eng.","ISSN":"https:\/\/id.crossref.org\/issn\/0029-5981","issn-type":"print"},{"key":"2019100315383055800_c12","doi-asserted-by":"publisher","first-page":"1365","DOI":"10.1002\/nme.1620330703","article-title":"The Super-Convergent Patch Recovery and a Posteriori Error Estimates, Part 2: Error Estimates and Adaptivity","volume":"33","author":"Zienkiewicz","journal-title":"Int. J. Numer. Methods Eng.","ISSN":"https:\/\/id.crossref.org\/issn\/0029-5981","issn-type":"print"},{"key":"2019100315383055800_c13","first-page":"409","article-title":"Bubble Mesh: Automated Triangular Meshing of Non-Manifold Geometry by Sphere Packing","volume-title":"Proceedings of the Third ACM Symposium on Solid Modeling and Applications","author":"Shimada"},{"key":"2019100315383055800_c14","first-page":"61","article-title":"Quadrilateral Meshing with Directionality Control through the Packing of Square Cells","volume-title":"Proceedings, 7th International Meshing Roundtable","author":"Shimada"},{"key":"2019100315383055800_c15","unstructured":"Viswanath, N.\n          , 2000, \u201cAdaptive Anisotropic Quadrilateral Mesh Generation Applied to Surface Approximation,\u201d MS thesis, Carnegie Mellon University."},{"key":"2019100315383055800_c16","volume-title":"Example Problems Manual"},{"key":"2019100315383055800_c17","volume-title":"Warping and Morphing of Graphical Objects","author":"Gomes"},{"key":"2019100315383055800_c18","volume-title":"Fundamental of Texture Mapping and Shading","author":"Heckbert"}],"container-title":["Journal of Computing and Information Science in Engineering"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/asmedigitalcollection.asme.org\/computingengineering\/article-pdf\/5\/4\/338\/5774073\/338_1.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"syndication"},{"URL":"http:\/\/asmedigitalcollection.asme.org\/computingengineering\/article-pdf\/5\/4\/338\/5774073\/338_1.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,10,3]],"date-time":"2019-10-03T15:38:41Z","timestamp":1570117121000},"score":1,"resource":{"primary":{"URL":"https:\/\/asmedigitalcollection.asme.org\/computingengineering\/article\/5\/4\/338\/474307\/Inverse-Predeformation-of-Finite-Element-Mesh-for"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2005,4,29]]},"references-count":18,"journal-issue":{"issue":"4","published-print":{"date-parts":[[2005,12,1]]}},"URL":"https:\/\/doi.org\/10.1115\/1.2052829","relation":{},"ISSN":["1530-9827","1944-7078"],"issn-type":[{"value":"1530-9827","type":"print"},{"value":"1944-7078","type":"electronic"}],"subject":[],"published":{"date-parts":[[2005,4,29]]}}}