literature.bib

@article{dadvand2010object,
	title={An object-oriented environment for developing finite element codes for multi-disciplinary applications},
	author={Dadvand, Pooyan and Rossi, Riccardo and O{\~n}ate, Eugenio},
	journal={Archives of computational methods in engineering},
	volume={17},
	number={3},
	pages={253--297},
	year={2010},
	publisher={Springer}
}

%%--------------------------- Background ---------------------- %%

@book{Zie77,
    author    = "Olgierd Zienkiewicz",
    title     = "The Finite Element Method",
    year      = "1977",
    publisher = "McGraw-Hill",
    address   = "New York City"
}


@book{Zien2Vol2000,
    author    = "O.C. Zienkiewicz and R.L. Taylor",
    title     = "The Finite Element Method. Volume 2: Solid Mechanics",
    year      = "2000",
    publisher = "Butterworth-Heinemann",
    address   = "Oxford"
}


@misc{Wuchner2016,
	author = {Roland Wüchner},
	title = {Lecture: Advanced Finite Element Methods},
	organization = {Chair of Structural Analysis, Technical University of Munich},
	year = {2016},
}

%%--------------------------- Shells and plates ---------------------- %%

@book{Ram02,
    author    = "Ekkehard Ramm",
    title     = "Heinz Isler, Schalen: Katalog zur Ausstellung",
    year      = "2002",
    publisher = "vdf Hochschulverlag AG",
    address   = "Zurich"
}

@inproceedings{Wall2000,
  title={The challenge of a three-dimensional shell formulation-the conditioning problem},
  author={Wall, Wolfgang A and Gee, Michael and Ramm, Ekkehard},
  booktitle={Proceedings of ECCM},
  volume={99},
  year={2000}
}

@phdthesis{Echter13,

	author = "Ralph Echter",
	title = "Isogeometric Analysis 
of Shells",
	type = "Dissertation",
	school = "Universitaet Stuttgart",
	address = "Stuttgart",
	year = "2013",
}

@inbook {BischLitBook04,
title = {Models and Finite Elements for Thin-Walled Structures},
author = {Bischoff, M. and Bletzinger, K.-U. and Wall, W. A. and Ramm, E.},
publisher = {John Wiley and Sons, Ltd},
booktitle = {Encyclopedia of Computational Mechanics},
year = {2004},
}

@article {RammLitBook04,
author = {Ramm, E. and Wall, W. A.},
title = {Shell structures - a sensitive interrelation between physics and numerics},
journal = {International Journal for Numerical Methods in Engineering},
volume = {60},
number = {1},
publisher = {John Wiley and Sons, Ltd.},
pages = {381 - 427},
year = {2004},
}

@misc{Bletz16,
	author = {Kai-Uwe Bletzinger},
	title = {Lecture: Theory of plates},
	date = {date},
	organization = {Chair of Structural Analysis, Technical University of Munich},
	year = {2016},
}

@article{MACNEAL1982,
title = "Derivation of element stiffness matrices by assumed strain distributions",
journal = "Nuclear Engineering and Design",
volume = "70",
number = "1",
pages = "3 - 12",
year = "1982",
author = "Richard H. Macneal",
}

@article{Dvorkin84,
author = {Dvorkin, Eduardo N. and Bathe, Klaus‐Jürgen},
title = {A continuum mechanics based four node shell element for general non‐linear analysis},
journal = {Engineering Computations},
volume = {1},
number = {1},
pages = {77-88},
year = {1984},
}

@article {Bathe86,
author = {Bathe, Klaus-Jürgen and Dvorkin, Eduardo N.},
title = {A formulation of general shell elements—the use of mixed interpolation of tensorial components},
journal = {International Journal for Numerical Methods in Engineering},
volume = {22},
number = {3},
pages = {697--722},
year = {1986},
}

@article {Batoz1980,
author = {Batoz, Jean-Louis and Bathe, Klaus-Jürgen and Ho, Lee-Wing},
title = {A study of three-node triangular plate bending elements},
journal = {International Journal for Numerical Methods in Engineering},
volume = {15},
number = {12},
publisher = {John Wiley and Sons, Ltd},
pages = {1771--1812},
year = {1980},
}

@article {Simo1990,
author = {Simo, J. C. and Rifai, M. S.},
title = {A class of mixed assumed strain methods and the method of incompatible modes},
journal = {International Journal for Numerical Methods in Engineering},
volume = {29},
number = {8},
publisher = {John Wiley and Sons, Ltd},
pages = {1595--1638},
year = {1990},
}


@article {Nguyen2009,
author = {Nguyen-Van, Hieu and Mai-Duy, Nam and Tran-Cong, Thanh.},
title = {An improved quadrilateral flat element with drilling degrees of freedom for shell structural analysis},
journal = {CMES: Computer Modeling in Engineering and Sciences},
volume = {49},
number = {2},
pages = {81 - 112},
year = {2009},
}

@article {Yang2000,
author = {Yang, Henry T. Y. and Saigal, S. and Masud, A. and Kapania, R. K.},
title = {A survey of recent shell finite elements},
journal = {International Journal for Numerical Methods in Engineering},
volume = {47},
number = {1-3},
publisher = {John Wiley and Sons, Ltd.},
year = {2000},
}

@phdthesis{Mohan97,

	author = "P. Mohan",
	title = "Development and applications of a flat triangular element for thin laminated shells",
	type = "Dissertation",
	school = "Virginia Polytechnic Institute and State University",
	address = "Virginia",
	year = "1997",
}

@phdthesis{Mostafa11,

	author = "Mohammadreza Mostafa",
	title = "A geometric nonlinear solid-shell element based on
ANDES, ANS and EAS concepts",
	type = "Dissertation",
	school = "University of Colorado",
	address = "Colorado",
	year = "2011",
}


@inproceedings{felippa2002fitting,
  title={Fitting strains and displacements by minimizing dislocation energy},
  author={Felippa, CA and Park, KC},
  booktitle={Proceedings of the Sixth International Conference on Computational Structures Technology, Prague, Czech Republic},
  pages={49--51},
  year={2002}
}

%% -------------------------- Composites -------------------%%

@book{reddy2004mechanics,
	title={Mechanics of laminated composite plates and shells: theory and analysis},
	author={Reddy, Junuthula Narasimha},
	year={2004},
	publisher={CRC press}
}

@book{agarwal2006analysis,
	title={Analysis and performance of fiber composites},
	author={Agarwal, Bhagwan D and Broutman, Lawrence J and Chandrashekhara, K},
	year={2006},
	publisher={John Wiley \& Sons}
}

@Book{OchoaReddy92,
	title = { Finite element analysis of composite laminates },
	author = { Ochoa, Ozden and Reddy, Junuthula Narasimha},
	publisher = { Dordrecht ; Boston : Kluwer Academic Publishers },
	year = { 1992 }
}

@article{nasanettles1994,
	title={Basic mechanics of laminated composite plates, NASA RP-1351},
	author={Nettles, Alan T},
	year={1994}
}

@article{kreja2011literature,
	title={A literature review on computational models for laminated composite and sandwich panels},
	author={Kreja, Ireneusz},
	journal={Open Engineering},
	volume={1},
	number={1},
	pages={59--80},
	year={2011}
}

@misc{FelippaKirchhoff2017,
	author        = {C.A. Felippa},
	title         = {Kirchhoff Plates: Field Equations},
	journal= {Advanced Finite Element Methods},
	year          = {2017},
	publisher ={University of Colorado at Boulder},
	organization = {Advanced Finite Element Methods, University of Colorado at Boulder}
}

@online{AMCA2017,
	title = {Composites	vs.	Aluminum},
	date = {2017},
	url = {http://compositeslab.com/composites-compared/composites-vs-aluminum/},
	organization = {American Composites Manufacturers Association},
}

@MastersThesis{tsai12,
	author = {William Hansen},
	title = {The The Significance and Measurement of the Tsai-Wu Normal Interaction Parameter F12},
	school = {Oregon State University},
	year = {1992},
}

@article{kolios2012evaluation,
	title={Evaluation of the reliability performance of failure criteria for composite structures},
	author={Kolios, Athanasios J and Proia, Stefano},
	year={2012},
	publisher={Scientific Research Publishing}
}


%%--------------------------- Non-linear analysis background ---------------------- %%

@misc{FelippaStabilityBasics2016,
	author        = {C.A. Felippa},
	title         = {Stability of Structures: Basic Concepts},
	journal= {Introduction to Aerospace Structures},
	year          = {2016},
	publisher ={University of Colorado at Boulder},
	organization = {Introduction to Aerospace Structures, University of Colorado at Boulder}
}

@misc{FelippaNFEMTour2016,
	author        = {C.A. Felippa},
	title         = {A Tour of Nonlinear Analysis},
	journal= {Nonlinear Finite Element Methods},
	year          = {2016},
	publisher ={University of Colorado at Boulder},
	organization = {Nonlinear Finite Element Methods, University of Colorado at Boulder}
}

@misc{Bletz16,
	author = {Kai-Uwe Bletzinger},
	title = {Lecture: Theory of plates},
	date = {date},
	organization = {Chair of Structural Analysis, Technical University of Munich},
	year = {2016},
}

@misc{FelippaNFEMCrit2016,
	author        = {C.A. Felippa},
	title         = {Critical Points},
	journal= {Nonlinear Finite Element Methods},
	year          = {2016},
	publisher ={University of Colorado at Boulder},
	organization = {Nonlinear Finite Element Methods, University of Colorado at Boulder}
}

@misc{FelippaCR1_2016,
	author        = {C.A. Felippa},
	title         = {CR Formulation Overview I},
	journal= {Nonlinear Finite Element Methods},
	year          = {2016},
	publisher ={University of Colorado at Boulder},
	organization = {Nonlinear Finite Element Methods, University of Colorado at Boulder}
}

@techreport{felippa2000systematic,
	title={A systematic approach to the element-independent corotational dynamics of finite elements},
	author={Felippa, Carlos A},
	year={2000},
	institution={Technical Report CU-CAS-00-03, Center for Aerospace Structures}
}

@article{felippa2005unified,
	title={A unified formulation of small-strain corotational finite elements: I. Theory},
	author={Felippa, Carlos A and Haugen, Bjorn},
	journal={Computer Methods in Applied Mechanics and Engineering},
	volume={194},
	number={21},
	pages={2285--2335},
	year={2005},
	publisher={Elsevier}
}

%%--------------------------- Thick tri ---------------------- %%

@article{Ble00,
title = "A unified approach for shear-locking-free triangular and rectangular shell finite elements ",
journal = "Computers and Structures ",
volume = "75",
number = "3",
pages = "321 - 334",
year = "2000",
author = "Kai-Uwe Bletzinger and Manfred Bischoff and Ekkehard Ramm",
}


@article{Bis04,
title = "Improving stability and accuracy of Reissner-Mindlin plate finite elements via algebraic subgrid scale stabilization",
journal = "Computer Methods in Applied Mechanics and Engineering ",
volume = "193",
number = "15 - 16",
pages = "1517 - 1528",
year = "2004",
author = "Manfred Bischoff and Kai-Uwe Bletzinger",
}

@article{Bis01,
title = "Stabilized DSG Plate and Shell 
Elements",
journal = "Trends in Computational Structural Mechanics",
pages = "253 - 263",
year = "2001",
author = "Manfred Bischoff and Kai-Uwe Bletzinger",
}

@article{Lyl93,
title = "A stable bilinear element for the Reissner-Mindlin plate model",
journal = "Computer Methods in Applied Mechanics and Engineering",
volume = "110",
number = "3",
pages = "343 - 357",
year = "1993",
author = "Mikko Lyly and Rolf Stenberg and Teemu Vihinen",
}

@article{Ram16,
    author =       "Gil Rama and Dragan Marinkovic and Manfred Zehn",
    title =        "Efficient Co-Rotational 3-Node Shell Element",
    journal =      "American Journal of Engineering and Applied Sciences",
    volume =       "9",
    issue =		   "2",
    pages =        "420-431",
    year =         "2016",
}

@article{Ngu13,
title = "A cell-based smoothed discrete shear gap method (CS-DSG3) using triangular elements for static and free vibration analyses of shell structures ",
journal = "International Journal of Mechanical Sciences ",
volume = "74",
number = "",
pages = "32 - 45",
year = "2013",
author = "T. Nguyen-Thoi and P. Phung-Van and C. Thai-Hoang and H. Nguyen-Xuan",
}

@article {Bergan84,
author = {Bergan, P. G. and Nygård, M. K.},
title = {Finite elements with increased freedom in choosing shape functions},
journal = {International Journal for Numerical Methods in Engineering},
volume = {20},
number = {4},
publisher = {John Wiley and Sons, Ltd},
pages = {643--663},
year = {1984},
}

@article{FELIPPA1990,
title = "Variational formulation of high-performance finite elements: Parametrized variational principles",
journal = "Computers and Structures",
volume = "36",
number = "1",
pages = "1 - 11",
year = "1990",
author = "C.A. Felippa and C. Militello",
}

@article{Felippa2003,
title = "A study of optimal membrane triangles with drilling freedoms ",
journal = "Computer Methods in Applied Mechanics and Engineering ",
volume = "192",
number = "16 - 18",
pages = "2125 - 2168",
year = "2003",
author = "Carlos A. Felippa",
}

%%--------------------------- Thin Quad ---------------------- %%


@phdthesis{Bar12,

	author = "Barrales, Fabian Rojas",
	title = "Development of a nonlinear quadrilateral layered membrane element with drilling degrees of freedom and a nonlinear quadrilateral thin flat layered shell element for the modeling of reinforced concrete walls",
	type = "Dissertation",
	school = "University of Southern California",
	address = "Los Angeles, California",
	year = "2012",
}

@phdthesis{Hau94,

	author = "Haugen, Bj{\o}rn",
	title = "Buckling and Stability Problems for Thin Shell Structures Using High Performance Finite Elements",
	type = "Dissertation",
	school = "University of Colorado",
	address = "Colorado",
	year = "1994",
}



@article{Fel91,
    author =       "Militello, Carmelo and Felippa, Carlos A.",
    title =        "The First ANDES Elements: 9-DOF Plate Bending Triangles",
    journal =      "Computer Methods in Applied Mechanics and Engineering",
    volume =       "93",
    issue =		   "2",
    pages =        "217-246",
    year =         "1991",
}



@article {Bat82,
author = {Batoz, Jean-Louis and Tahar, Mabrouk Ben},
title = {Evaluation of a new quadrilateral thin plate bending element},
journal = {International Journal for Numerical Methods in Engineering},
volume = {18},
number = {11},
pages = {1655--1677},
year = {1982},
}

@article{Bel85,
title = "Stress projection for membrane and shear locking in shell finite elements",
author = "Ted Belytschko and Henryk Stolarski and Liu, {Wing Kam} and Nicholas Carpenter and Ong, {Jame S J}",
year = "1985",
volume = "51",
pages = "221--258",
journal = "Computer Methods in Applied Mechanics and Engineering",
number = "1-3",
}

@article{Bou13,
title = "Efficient isogeometric NURBS-based solid-shell elements: Mixed formulation and -method ",
journal = "Computer Methods in Applied Mechanics and Engineering ",
volume = "267",
pages = "86 - 110",
year = "2013",
author = "Robin Bouclier and Thomas Elguedj and Alain Combescure",
}

@article{felippa2006supernatural,
	title={Supernatural QUAD4: a template formulation},
	author={Felippa, Carlos A},
	journal={Computer methods in applied mechanics and engineering},
	volume={195},
	number={41},
	pages={5316--5342},
	year={2006},
	publisher={Elsevier}
}

%%--------------------------- Benchmarks - Nonlinear  ---------------------- %%

@article{Jung13,
	title = "An 8-Node Shell Element for Nonlinear Analysis of Shells Using the Refined Combination of Membrane and Shear Interpolation Functions,",
	author = "Woo-Young Jung and Sung-Cheon Han",
	year = "2013",
	volume = "2013",
	journal = "Mathematical Problems in Engineering",
}

@article{Sze2004,
	title = "Popular benchmark problems for geometric nonlinear analysis of shells ",
	journal = "Finite Elements in Analysis and Design ",
	volume = "40",
	number = "11",
	pages = "1551 - 1569",
	year = "2004",
	author = "K.Y. Sze and X.H. Liu and S.H. Lo",
}

%% ---------- CS-DSG formulation ---------------------- %%

@article{phung2013static,
	title={Static and free vibration analyses and dynamic control of composite plates integrated with piezoelectric sensors and actuators by the cell-based smoothed discrete shear gap method (CS-FEM-DSG3)},
	author={Phung-Van, Phuc and Nguyen-Thoi, T and Le-Dinh, T and Nguyen-Xuan, H},
	journal={Smart Materials and Structures},
	volume={22},
	number={9},
	pages={095026},
	year={2013},
	publisher={IOP Publishing}
}

%% ---- Further developments

@article{DSG_XFEM_2015,
	title = "Buckling failure analysis of cracked functionally graded plates by a stabilized discrete shear gap extended 3-node triangular plate element",
	journal = "Composites Part B: Engineering",
	volume = "77",
	pages = "179 - 193",
	year = "2015",
	author = "P. Liu and T.Q. Bui and D. Zhu and T.T. Yu and J.W. Wang and S.H. Yin and S. Hirose",
}

@article{rolfes1997improved,
	title={Improved transverse shear stresses in composite finite elements based on first order shear deformation theory},
	author={Rolfes, R and Rohwer, K},
	journal={International Journal for Numerical Methods in Engineering},
	volume={40},
	number={1},
	pages={51-60},
	year={1997},
	publisher={Wiley Online Library}


}