Applied element method: Difference between revisions

Revision as of 15:13, 24 September 2012

Revision as of 17:37, 21 June 2013

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== History ==

Exploration of the approach employed in the applied element method began in 1995 at the [[University of Tokyo]] as part of Dr.Hatem Tagel-Din's research studies. The term itself "Applied Element Method," however was first coined in 2000 in a paper called "Applied element method for structural analysis: Theory and application for linear Materials.".<ref name=AEMTheory>{{cite journal | last = | first = | authorlink = | coauthors = Meguro, K. and Tagel-Din, H. | title = Applied element method for structural analysis: Theory and application for linear materials | journal = Structural engineering/earthquake engineering. | volume = 17 | issue = 1 | pages = 21–35 | publisher = Japan Society of Civil Engineers(JSCE) | ___location = Japan | year = 2000 | url = http://sciencelinks.jp/j-east/article/200014/000020001400A0511912.php| doi = | id = F0028A | accessdate = 2009-08-10}}</ref> Since then AEM has been the subject of research by a number of [[academic institution]]s and the driving factor in real-world applications. Research has verified its accuracy for: elastic analysis;<ref name="AEMTheory"/> crack initiation and propagation; estimation of [[Structural failure|failure loads]] at reinforced concrete structures;<ref>{{cite journal | last = | first = | authorlink = | coauthors = Tagel-Din, H. and Meguro, K | title = Applied Element Method for Simulation of Nonlinear Materials: Theory and Application for RC Structures | journal = Structural engineering/earthquake engineering | volume = 17 | issue = 2 | pages = 137–148 | publisher = Japan Society of Civil Engineers(JSCE) | ___location = Japan | year = 2000 | url = http://www.jsce.or.jp/publication/e/book/book_seee.html#vol17| doi = | id = | accessdate = 2009-08-10}}</ref> [[reinforced concrete]] structures under cyclic loading;<ref>{{cite journal | last = | first = | authorlink = | coauthors = Tagel-Din, H. and Meguro, K | title = Applied Element Simulation of RC Structures under Cyclic Loading | journal = Journal of Structural Engineering | volume = 127 | issue = 11 | pages = 137–148 |doi=10.1061/(ASCE)0733-9445(2001)127:11(1295)| publisher = ASCE | ___location = Japan | date = November 2001 | url = http://cedb.asce.org/cgi/WWWdisplay.cgi?0106179 | issn = 0733-9445 | id = | accessdate = 2009-08-10 | last1 = Meguro | first1 = Kimiro}}</ref> [[buckling]] and post-buckling behavior;<ref>{{cite journal | last = | first = | authorlink = | coauthors = Tagel-Din, H. and Meguro, K | title = AEM Used for Large Displacement Structure Analysis | journal = Journal of Natural Disaster Science | volume = 24 | issue = 1 | pages = 25–34 | publisher = | ___location = Japan | year = 2002 | url = http://www.drs.dpri.kyoto-u.ac.jp/jsnds/download.cgi?jsdn_24_1-3.pdf | issn = | doi = | id = | accessdate = 2009-08-10}}</ref> nonlinear dynamic analysis of structures subjected to severe earthquakes;<ref>{{cite conference | last = | first = | authorlink = | coauthors = Hatem Tagel-Din and Kimiro Meguro, K | title = Analysis of a Small Scale RC Building Subjected to Shaking Table Tests using Applied Element Method | publisher = Proceedings of the 12th World Conference on Earthquake Engineering | pages = 25–34 | ___location = New Zealand | date = January 30th30 –February 4th4, 2000 | url = | issn = | doi = | id = | accessdate = }}</ref> fault-rupture propagation;<ref>{{cite conference | last = | first = | authorlink = | coauthors = Tagel-Din HATEM and Kimiro MEGURO, K | title = Dynamic Modeling of Dip-Slip Faults for Studying Ground Surface Deformation Using Applied Element Method | publisher = Proceedings of the 13th World Conference on Earthquake Engineering | pages = | ___location = Vancouver, Canada | date = August 1st-6th1–6, 2004 | url = | issn = | doi = | id = | accessdate = }}</ref> nonlinear behavior of brick structures;<ref>{{cite journal | last = | first = | authorlink = | coauthors = Paola Mayorka and Kimiro Meguro, K | title = Modeling Masonry Structures using the Applied Element Method | journal = Seisan Kenkyu | volume = 55 | issue = 6 | publisher = Institute of Industrial Science, The University of Tokyo | pages = 123–126 | ___location = Japan | date = October 2003 | url = http://www.jstage.jst.go.jp/article/seisankenkyu/55/6/581/_pdf | issn = 1881-2058 | doi = | id = | accessdate = 2009-08-10}}</ref> and the analysis of [[Glass-reinforced plastic|glass reinforced polymers]] (GFRP) walls under blast loads.<ref>{{Cite book | last = | first = | authorlink = | coauthors = Paola Mayorka and Kimiro Meguro, K | title = Blast Testing and Research Bridge at the Tenza Viaduct | publisher = University of Missouri-Rolla, TSWG Contract Number N4175-05-R-4828, Final Report of Task 1| ___location = Japan | year = 2005 | url = | issn = | doi = | id = | accessdate = 2009-08-10}}</ref>

== Technical discussion ==

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===Automatic element separation===

When the average strain value at the element face reaches the separation strain, all springs at this face are removed and elements are no longer connected until a collision occurs, at which point they collide together as rigid bodies.

Separation strain represents the strain at which adjacent elements are totally separated at the connecting face. This parameter is not available in the elastic material model. For concrete, all springs between the adjacent faces including reinforcement bar springs are cut. If the elements meet again, they will behave as two different rigid bodies that have now contacted each other. For steel, the bars are cut if the stress point reaches [[Ultimate tensile stress|ultimate stress]] or if the concrete reaches the [[Deformation (mechanics)|separation strain]].

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: <math>K_n=\frac{E\cdot T\cdot d}{a}</math>

</br>

: <math>K_s=\frac{G\cdot T\cdot d}{a}</math>