{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2023,3,23]],"date-time":"2023-03-23T04:18:13Z","timestamp":1679545093859},"reference-count":10,"publisher":"Polish Academy of Sciences Chancellery","issue":"2","license":[{"start":{"date-parts":[[2012,6,1]],"date-time":"2012-06-01T00:00:00Z","timestamp":1338508800000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by-nc-nd\/3.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2012,6,1]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p> For solving a partial different equation by a numerical method, a possible alternative may be either to use a mesh method or a meshless method. A flexible computational procedure for solving 1D linear elastic beam problems is presented that currently uses two forms of approximation function (moving least squares and kernel approximation functions) and two types of formulations, namely the weak form and collocation technique, respectively, to reproduce Element Free Galerkin (EFG) and Smooth Particle Hydrodynamics (SPH) meshless methods. The numerical implementation for beam problems of these two formulations is discussed and numerical tests are presented to illustrate the difference between the formulations.<\/jats:p>","DOI":"10.2478\/v.10169-012-0010-3","type":"journal-article","created":{"date-parts":[[2012,7,21]],"date-time":"2012-07-21T08:26:38Z","timestamp":1342859198000},"page":"175-184","source":"Crossref","is-referenced-by-count":1,"title":["Numerical Implementation of Meshless Methods for Beam Problems"],"prefix":"10.24425","volume":"58","author":[{"given":"V. E.","family":"Rosca","sequence":"first","affiliation":[{"name":"1Lecturer, \u201dGheorghe Asachi\u201d Technical University from Iasi, Faculty Of Civil Engineering and"}]},{"given":"V. M. A.","family":"Leit\u0101o","sequence":"additional","affiliation":[{"name":"2Associate Professor, Technical University of Lisbon, Instituto Superior T\u00b4ecnico, 1 Rovisco Pais"}]}],"member":"37468","reference":[{"key":"ref41","first-page":"139","article-title":"Smoothed Particle Hydrodynamics : Some recent improvements and applications in and","author":"Randles","year":"1996","journal-title":"Computer Methods Applied Mechanics Engineering"},{"key":"ref71","doi-asserted-by":"crossref","first-page":"207","DOI":"10.1007\/BF02897874","article-title":"An Introduction to Programming the Meshless Element Free Galerkin Method of in","volume":"5","author":"Dolbow","year":"1998","journal-title":"Archives Computational Methods Engineering"},{"key":"ref101","doi-asserted-by":"crossref","first-page":"471","DOI":"10.1016\/j.enganabound.2007.10.015","article-title":"Quasi - Monte Carlo mesh - free integration for meshless weak formulations with","volume":"32","author":"Rosca","year":"2008","journal-title":"Engineering Analysis Boundary Elements"},{"key":"ref91","first-page":"48","article-title":"An introduction to SPH Physics","author":"Monaghan","year":"1988","journal-title":"Computer Communications"},{"key":"ref11","first-page":"20","article-title":"Reproducing Kernel Particle Methods for in","author":"Liu","year":"1995","journal-title":"International Journal Numerical Methods Fluids"},{"key":"ref51","first-page":"37","article-title":"Surfaces generated by moving least squares methods of","author":"Lancaster","year":"1981","journal-title":"Mathematics Computation"},{"key":"ref01","first-page":"82","article-title":"A numerical approach to the testing of the fission thesis The","author":"Lucy","year":"1977","journal-title":"Astronomical Journal"},{"key":"ref61","first-page":"37","article-title":"Element - Free Galerkin Methods for in","author":"Belytschko","year":"1994","journal-title":"International Journal Numerical Methods Engineering"},{"key":"ref31","first-page":"139","article-title":"Meshless methods : An overview and recent developments in and","author":"Belytschko","year":"1996","journal-title":"Computer Methods Applied Mechanics Engineering"},{"key":"ref21","first-page":"55","article-title":"Meshfree and particle methods and their applications Mechanics","author":"Li","year":"2002","journal-title":"Applied Review"}],"container-title":["Archives of Civil Engineering"],"original-title":[],"link":[{"URL":"https:\/\/content.sciendo.com\/view\/journals\/ace\/58\/2\/article-p175.xml","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/content.sciendo.com\/downloadpdf\/journals\/ace\/58\/2\/article-p175.xml","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,3,22]],"date-time":"2023-03-22T13:29:10Z","timestamp":1679491750000},"score":1,"resource":{"primary":{"URL":"http:\/\/archive.sciendo.com\/ACE\/ace.2012.58.issue-2\/v.10169-012-0010-3\/v.10169-012-0010-3.pdf"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2012,6,1]]},"references-count":10,"journal-issue":{"issue":"2"},"URL":"https:\/\/doi.org\/10.2478\/v.10169-012-0010-3","relation":{},"ISSN":["1230-2945"],"issn-type":[{"value":"1230-2945","type":"electronic"}],"subject":[],"published":{"date-parts":[[2012,6,1]]}}}