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FORMULATION.bib
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% Encoding: UTF-8
@Article{Turner1956,
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title = {The Third Form of the Quadrilateral Area Coordinate Method ({QACM}-{III}): Theory, Application, and Scheme of Composite Coordinate Interpolation},
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year = {2010},
volume = {46},
number = {10},
pages = {805--818},
month = oct,
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publisher = {Elsevier {BV}},
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@Book{Zienkiewicz2013,
title = {The Finite Element Method: Its Basis and Fundamentals},
publisher = {{Butterworth-Heinemann}},
year = {2013},
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edition = {7},
month = aug,
isbn = {9781856176330},
}
@Article{Lee1993,
author = {Lee, Nam-Sua and Bathe, Klaus-Jurgen},
title = {Effects of Element Distortions on the Performance of Isoparametric Elements},
journal = {International Journal for Numerical Methods in Engineering},
year = {1993},
volume = {36},
number = {20},
pages = {3553--3576},
month = oct,
doi = {10.1002/nme.1620362009},
publisher = {Wiley},
}
@Article{Pian1984,
author = {T. H. H. Pian and K. Sumihara},
title = {Rational Approach for Assumed Stress Finite Elements},
journal = {International Journal for Numerical Methods in Engineering},
year = {1984},
volume = {20},
number = {9},
pages = {1685--1695},
month = sep,
doi = {10.1002/nme.1620200911},
publisher = {Wiley-Blackwell},
}
@Article{Bergan1985,
author = {P. G. Bergan and C. A. Felippa},
title = {A Triangular Membrane Element with Rotational Degrees of Freedom},
journal = {Computer Methods in Applied Mechanics and Engineering},
year = {1985},
volume = {50},
number = {1},
pages = {25--69},
month = jul,
doi = {10.1016/0045-7825(85)90113-6},
publisher = {Elsevier {BV}},
}
@PhdThesis{Felippa1966,
author = {C. A. Felippa},
title = {Refined Finite Element Analysis of Linear and Nonlinear Two--Dimensional Structures},
school = {University of California, Berkeley},
year = {1966},
type = {phdthesis},
}
@TechReport{Scordelis1967,
author = {A. C. Scordelis},
title = {Analysis of Continuous Box Girder Bridges},
institution = {University of California, Berkeley},
year = {1967},
type = {resreport},
month = nov,
}
@PhdThesis{Willam1969,
author = {Kaspar J. Willam},
title = {Finite Element Analysis of Cellular Structures},
school = {University of California, Berkeley},
year = {1969},
type = {phdthesis},
}
@Article{MacLeod1969,
author = {Iain A. MacLeod},
title = {New Rectangular Finite Element for Shear Wall Analysis},
journal = {Journal of the Structural Division},
year = {1969},
volume = {95},
number = {3},
pages = {399--409},
}
@Article{Allman1984,
author = {D. J. Allman},
title = {A Compatible Triangular Element Including Vertex Rotations for Plane Elasticity Analysis},
journal = {Computers {\&} Structures},
year = {1984},
volume = {19},
number = {1-2},
pages = {1--8},
month = jan,
doi = {10.1016/0045-7949(84)90197-4},
publisher = {Elsevier {BV}},
}
@Article{Allman1988,
author = {D. J. Allman},
title = {A Quadrilateral Finite Element Including Vertex Rotations for Plane Elasticity Analysis},
journal = {International Journal for Numerical Methods in Engineering},
year = {1988},
volume = {26},
number = {3},
pages = {717--730},
month = mar,
doi = {10.1002/nme.1620260314},
publisher = {Wiley-Blackwell},
}
@Article{Cook1986,
author = {Robert D. Cook},
title = {On the Allman Triangle and a Related Quadrilateral Element},
journal = {Computers {\&} Structures},
year = {1986},
volume = {22},
number = {6},
pages = {1065--1067},
month = jan,
doi = {10.1016/0045-7949(86)90167-7},
publisher = {Elsevier {BV}},
}
@Article{MacNeal1988,
author = {Richard H. MacNeal and Robert L. Harder},
title = {A Refined Four--Noded Membrane Element with Rotational Degrees of Freedom},
journal = {Computers {\&} Structures},
year = {1988},
volume = {28},
number = {1},
pages = {75--84},
month = jan,
doi = {10.1016/0045-7949(88)90094-6},
publisher = {Elsevier {BV}},
}
@Article{Sze1992,
author = {K. Y. Sze and Wan Ji Chen and Y. K. Cheung},
title = {An Efficient Quadrilateral Plane Element with Drilling Degrees of Freedom Using Orthogonal Stress Modes},
journal = {Computers {\&} Structures},
year = {1992},
volume = {42},
number = {5},
pages = {695--705},
month = mar,
doi = {10.1016/0045-7949(92)90181-x},
publisher = {Elsevier {BV}},
}
@Article{Long1994,
author = {Yu Qiu Long and Yin Xu},
title = {Generalized Conforming Quadrilateral Membrane Element with Vertex Rigid Rotational Freedom},
journal = {Computers {\&} Structures},
year = {1994},
volume = {52},
number = {4},
pages = {749--755},
month = aug,
doi = {10.1016/0045-7949(94)90356-5},
publisher = {Elsevier {BV}},
}
@Article{Hughes1989,
author = {Thomas J. R. Hughes and F. Brezzi},
title = {On Drilling Degrees of Freedom},
journal = {Computer Methods in Applied Mechanics and Engineering},
year = {1989},
volume = {72},
number = {1},
pages = {105--121},
month = jan,
doi = {10.1016/0045-7825(89)90124-2},
publisher = {Elsevier {BV}},
}
@Article{Hughes1995,
author = {T. J. R. Hughes and A. Masud and I. Harari},
title = {Numerical Assessment of Some Membrane Elements with Drilling Degrees of Freedom},
journal = {Computers {\&} Structures},
year = {1995},
volume = {55},
number = {2},
pages = {297--314},
month = apr,
doi = {10.1016/0045-7949(94)00438-9},
publisher = {Elsevier {BV}},
}
@Article{Ibrahimbegovic1990,
author = {Adnan Ibrahimbegovi{\'{c}} and Robert L. Taylor and Edward L. Wilson},
title = {A Robust Quadrilateral Membrane Finite Element with Drilling Degrees of Freedom},
journal = {International Journal for Numerical Methods in Engineering},
year = {1990},
volume = {30},
number = {3},
pages = {445--457},
month = aug,
doi = {10.1002/nme.1620300305},
publisher = {Wiley-Blackwell},
}
@Article{Ibrahimbegovic1992,
author = {Adnan Ibrahimbegovi{\'{c}} and Fran{\c{c}}ois Frey},
title = {Membrane Quadrilateral Finite Elements with Rotational Degrees of Freedom},
journal = {Engineering Fracture Mechanics},
year = {1992},
volume = {43},
number = {1},
pages = {13--24},
month = sep,
doi = {10.1016/0013-7944(92)90308-2},
publisher = {Elsevier {BV}},
}
@Article{Ibrahimbegovic1993,
author = {Adnan Ibrahimbegovi{\'{c}}},
title = {Mixed Finite Element with Drilling Rotations for Plane Problems in Finite Elasticity},
journal = {Computer Methods in Applied Mechanics and Engineering},
year = {1993},
volume = {107},
number = {1-2},
pages = {225--238},
month = aug,
doi = {10.1016/0045-7825(93)90177-y},
publisher = {Elsevier {BV}},
}
@Article{Ibrahimbegovic1994,
author = {Adnan Ibrahimbegovi{\'{c}}},
title = {Stress Resultant Geometrically Nonlinear Shell Theory with Drilling Rotations --- Part I. {A} Consistent Formulation},
journal = {Computer Methods in Applied Mechanics and Engineering},
year = {1994},
volume = {118},
number = {3-4},
pages = {265--284},
month = oct,
doi = {10.1016/0045-7825(94)90003-5},
publisher = {Elsevier {BV}},
}
@Article{Chinosi1997,
author = {C. Chinosi and M. I. Comodi and G. Sacchi},
title = {A New Finite Element with `Drilling' {D.O.F.}},
journal = {Computer Methods in Applied Mechanics and Engineering},
year = {1997},
volume = {143},
number = {1-2},
pages = {1--11},
month = apr,
doi = {10.1016/s0045-7825(96)01148-6},
publisher = {Elsevier {BV}},
}
@Article{Choi2002,
author = {Chang-Koon Choi and Tae-Yeol Lee and Keun-Young Chung},
title = {Direct Modification for Non-Conforming Elements with Drilling {DOF}},
journal = {International Journal for Numerical Methods in Engineering},
year = {2002},
volume = {55},
number = {12},
pages = {1463--1476},
doi = {10.1002/nme.550},
publisher = {Wiley-Blackwell},
}
@Article{Fajman2002,
author = {Petr Fajman},
title = {New Triangular Plane Element with Drilling Degrees of Freedom},
journal = {Journal of Engineering Mechanics},
year = {2002},
volume = {128},
number = {4},
pages = {413--418},
month = apr,
doi = {10.1061/(asce)0733-9399(2002)128:4(413)},
publisher = {American Society of Civil Engineers ({ASCE})},
}
@Article{Cen2011,
author = {Song Cen and Ming-Jue Zhou and Xiang-Rong Fu},
title = {A 4-Node Hybrid Stress--Function ({HS-F}) Plane Element with Drilling Degrees of Freedom Less Sensitive to Severe Mesh Distortions},
journal = {Computers {\&} Structures},
year = {2011},
volume = {89},
number = {5-6},
pages = {517--528},
month = mar,
doi = {10.1016/j.compstruc.2010.12.010},
publisher = {Elsevier {BV}},
}
@Article{Madeo2012,
author = {A. Madeo and G. Zagari and R. Casciaro},
title = {An Isostatic Quadrilateral Membrane Finite Element with Drilling Rotations and No Spurious Modes},
journal = {Finite Elements in Analysis and Design},
year = {2012},
volume = {50},
pages = {21--32},
month = mar,
doi = {10.1016/j.finel.2011.08.009},
publisher = {Elsevier {BV}},
}
@Article{Madeo2014,
author = {A. Madeo and R. Casciaro and G. Zagari and R. Zinno and G. Zucco},
title = {A Mixed Isostatic 16 {DOF} Quadrilateral Membrane Element with Drilling Rotations, Based on Airy Stresses},
journal = {Finite Elements in Analysis and Design},
year = {2014},
volume = {89},
pages = {52--66},
month = oct,
doi = {10.1016/j.finel.2014.05.013},
publisher = {Elsevier {BV}},
}
@Article{Choi2006,
author = {Noori Choi and Yeon Seok Choo and Byung Chai Lee},
title = {A Hybrid Trefftz Plane Elasticity Element with Drilling Degrees of Freedom},
journal = {Computer Methods in Applied Mechanics and Engineering},
year = {2006},
volume = {195},
number = {33-36},
pages = {4095--4105},
month = jul,
doi = {10.1016/j.cma.2005.07.016},
publisher = {Elsevier {BV}},
}
@Article{Choo2006,
author = {Yeon Seok Choo and Noori Choi and Byung Chai Lee},
title = {Quadrilateral and Triangular Plane Elements with Rotational Degrees of Freedom Based on the Hybrid Trefftz Method},
journal = {Finite Elements in Analysis and Design},
year = {2006},
volume = {42},
number = {11},
pages = {1002--1008},
month = jul,
doi = {10.1016/j.finel.2006.03.006},
publisher = {Elsevier {BV}},
}
@Book{Long2009,
title = {Advanced Finite Element Method in Structural Engineering},
publisher = {Springer Berlin Heidelberg},
year = {2009},
author = {Long, Yu-Qiu and Cen, Song and Long, Zhi-Fei},
doi = {10.1007/978-3-642-00316-5},
}
@Article{Hu1954,
author = {Hai Chang Hu},
title = {On Some Variational Principles in the Theory of Elasticity and the Theory of Plasticity},
journal = {Acta Phys. Sin.},
year = {1954},
volume = {10},
number = {3},
pages = {259--290},
}
@Article{Piltner1995,
author = {R. Piltner and R. L. Taylor},
title = {A Quadrilateral Mixed Finite Element with Two Enhanced Strain Modes},
journal = {International Journal for Numerical Methods in Engineering},
year = {1995},
volume = {38},
number = {11},
pages = {1783--1808},
month = jun,
doi = {10.1002/nme.1620381102},
publisher = {Wiley-Blackwell},
}
@Article{Simo1990,
author = {J. C. Simo and M. S. Rifai},
title = {A Class of Mixed Assumed Strain Methods and the Method of Incompatible Modes},
journal = {International Journal for Numerical Methods in Engineering},
year = {1990},
volume = {29},
number = {8},
pages = {1595--1638},
month = jun,
doi = {10.1002/nme.1620290802},
publisher = {Wiley-Blackwell},
}
@Article{Piltner1999,
author = {R. Piltner and R. L. Taylor},
title = {A Systematic Construction of {B}-Bar Functions for Linear and Non-linear Mixed--Enhanced Finite Elements for Plane Elasticity Problems},
journal = {International Journal for Numerical Methods in Engineering},
year = {1999},
volume = {44},
number = {5},
pages = {615--639},
month = feb,
doi = {10.1002/(sici)1097-0207(19990220)44:5<615::aid-nme518>3.0.co;2-u},
publisher = {Wiley-Blackwell},
}
@Article{Tang1984,
author = {Tang, Li Min and Chen, Wan Ji and Liu, Ying Xi},
title = {Formulation of Quasi-Conforming Element and {Hu-Washizu} Principle},
journal = {Computers {\&} Structures},
year = {1984},
volume = {19},
number = {1-2},
pages = {247--250},
month = jan,
doi = {10.1016/0045-7949(84)90224-4},
publisher = {Elsevier {BV}},
}
@Article{Wu1987,
author = {Wu, Chang-Chun and Huang, Mao-Guang and Theodore H.H. Pian},
title = {Consistency Condition and Convergence Criteria of Incompatible Elements: General Formulation of Incompatible Functions and Its Application},
journal = {Computers {\&} Structures},
year = {1987},
volume = {27},
number = {5},
pages = {639--644},
doi = {10.1016/0045-7949(87)90080-0},
publisher = {Elsevier {BV}},
}
@Article{Fu2010,
author = {Xiang-Rong Fu and Song Cen and C. F. Li and Xiao-Ming Chen},
title = {Analytical Trial Function Method for Development of New 8-Node Plane Element Based on the Variational Principle Containing Airy Stress Function},
journal = {Engineering Computations},
year = {2010},
volume = {27},
number = {4},
pages = {442--463},
month = jun,
doi = {10.1108/02644401011044568},
publisher = {Emerald},
}
@Article{Nodargi2017,
author = {Nicola A. Nodargi and Paolo Bisegna},
title = {A Novel High-Performance Mixed Membrane Finite Element for the Analysis of Inelastic Structures},
journal = {Computers {\&} Structures},
year = {2017},
volume = {182},
pages = {337--353},
month = apr,
doi = {10.1016/j.compstruc.2016.10.002},
publisher = {Elsevier {BV}},
}
@Article{Irons1971,
author = {Bruce M. Irons},
title = {Quadrature Rules for Brick Based Finite Elements},
journal = {International Journal for Numerical Methods in Engineering},
year = {1971},
volume = {3},
number = {2},
pages = {293--294},
month = apr,
doi = {10.1002/nme.1620030213},
publisher = {Wiley-Blackwell},
}
@Article{MacNeal1985,
author = {Richard H. MacNeal and Robert L. Harder},
title = {A Proposed Standard Set of Problems to Test Finite Element Accuracy},
journal = {Finite Elements in Analysis and Design},
year = {1985},
volume = {1},
number = {1},
pages = {3--20},
month = apr,
doi = {10.1016/0168-874x(85)90003-4},
publisher = {Elsevier {BV}},
}
@Article{Cen2015,
author = {Song Cen and Pei-Lei Zhou and Chen-Feng Li and Cheng-Jin Wu},
title = {An Unsymmetric 4-Node, 8-{DOF} Plane Membrane Element Perfectly Breaking through {MacNeal}'s Theorem},
journal = {International Journal for Numerical Methods in Engineering},
year = {2015},
volume = {103},
number = {7},
pages = {469--500},
month = mar,
doi = {10.1002/nme.4899},
publisher = {Wiley-Blackwell},
}
@Article{Pian1985,
author = {Theodore H. H. Pian},
title = {Finite Elements Based on Consistently Assumed Stresses and Displacements},
journal = {Finite Elements in Analysis and Design},
year = {1985},
volume = {1},
number = {2},
pages = {131--140},
month = aug,
doi = {10.1016/0168-874x(85)90023-x},
publisher = {Elsevier {BV}},
}
@Article{Cheung2000,
author = {Y. K. Cheung and Y. X. Zhang and W. J. Chen},
title = {A Refined Nonconforming Plane Quadrilateral Element},
journal = {Computers {\&} Structures},
year = {2000},
volume = {78},
number = {5},
pages = {699--709},
month = dec,
doi = {10.1016/s0045-7949(00)00049-3},
publisher = {Elsevier {BV}},
}
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@Comment{jabref-meta: databaseType:bibtex;}