@article{StaatHeitzer2002,
  author    = {Staat, Manfred and Heitzer, M.},
  title     = {Limit and Shakedown Analysis with Uncertain Data},
  series = {Stochastic optimization techniques : numerical methods and technical applications / Marti, K. [ed]},
  journal   = {Stochastic optimization techniques : numerical methods and technical applications / Marti, K. [ed]},
  publisher = {Springer},
  address   = {Heidelberg},
  isbn      = {3-540-42889-5},
  pages     = {241 -- 254},
  year      = {2002},
  language  = {en}
}
@article{StaatHeitzer2003,
  author    = {Staat, Manfred and Heitzer, M.},
  title     = {Probabilistic limit and shakedown problems},
  series = {Numerical Methods for Limit and Shakedown Analysis. Deterministic and Probabilistic Approach. NIC Series Vol. 15 / Ed. by Staat, M; Heitzer, M.},
  journal   = {Numerical Methods for Limit and Shakedown Analysis. Deterministic and Probabilistic Approach. NIC Series Vol. 15 / Ed. by Staat, M; Heitzer, M.},
  publisher = {John von Neumann Institute for Computing (NIC)},
  address   = {J{\"u}lich},
  isbn      = {3-00-010001-6},
  pages     = {217 -- 268},
  year      = {2003},
  language  = {en}
}
@incollection{StaatHeitzer2003,
  author    = {Staat, Manfred and Heitzer, M.},
  title     = {Basis reduction technique for limit and shakedown problems},
  series = {Numerical Methods for Limit and Shakedown Analysis. Deterministic and Probabilistic Approach. NIC Series Vol. 15 / Ed. by Staat, M.; Heitzer, M.},
  booktitle = {Numerical Methods for Limit and Shakedown Analysis. Deterministic and Probabilistic Approach. NIC Series Vol. 15 / Ed. by Staat, M.; Heitzer, M.},
  publisher = {John von Neumann Institute for Computing (NIC)},
  address   = {J{\"u}lich},
  isbn      = {3-00-010001-6},
  url       = {http://nbn-resolving.de/urn:nbn:de:0001-2018112115},
  pages     = {1 -- 55},
  year      = {2003},
  language  = {en}
}
@article{Staat2005,
  author    = {Staat, Manfred},
  title     = {Local and global collapse pressure of longitudinally flawed pipes and cylindrical vessels},
  series = {International Journal of Pressure Vessels and Piping. 82 (2005), H. 3},
  journal   = {International Journal of Pressure Vessels and Piping. 82 (2005), H. 3},
  isbn      = {0308-0161},
  pages     = {217 -- 225},
  year      = {2005},
  language  = {en}
}
@article{StaatVu2004,
  author    = {Staat, Manfred and Vu, Duc-Khoi},
  title     = {An Algorithm for Shakedown Analysis for Materials with Temperature Dependent Yield Stress},
  series = {Proceedings in Applied Mathematics and Mechanics (PAMM). 4 (2004), H. 1},
  journal   = {Proceedings in Applied Mathematics and Mechanics (PAMM). 4 (2004), H. 1},
  isbn      = {1617-7061},
  pages     = {231 -- 233},
  year      = {2004},
  language  = {en}
}
@article{StaatVu2006,
  author    = {Staat, Manfred and Vu, Khoi Duc},
  title     = {Limit loads of circumferentially flawed pipes and cylindrical vessels under internal pressure},
  series = {International Journal of Pressure Vessels and Piping. 83 (2006), H. 3},
  journal   = {International Journal of Pressure Vessels and Piping. 83 (2006), H. 3},
  isbn      = {0308-0161},
  pages     = {188 -- 196},
  year      = {2006},
  language  = {en}
}
@article{StaatVu2007,
  author    = {Staat, Manfred and Vu, Duc-Khoi},
  title     = {Limit analysis of flaws in pressurized pipes and cylindrical vessels. Part I: Axial defects},
  series = {Engineering Fracture Mechanics. 74 (2007), H. 3},
  journal   = {Engineering Fracture Mechanics. 74 (2007), H. 3},
  isbn      = {0013-7944},
  pages     = {431 -- 450},
  year      = {2007},
  language  = {en}
}
@article{VuStaatTran2007,
  author    = {Vu, Duc Khoi and Staat, Manfred and Tran, Ich Thinh},
  title     = {Analysis of pressure equipment by application of the primal-dual theory of shakedown},
  series = {Communications in Numerical Methods in Engineering. 23 (2007), H. 3},
  journal   = {Communications in Numerical Methods in Engineering. 23 (2007), H. 3},
  isbn      = {1069-8299},
  pages     = {213 -- 225},
  year      = {2007},
  language  = {en}
}
@article{VuStaat2007,
  author    = {Vu, Duc Khoi and Staat, Manfred},
  title     = {Shakedown analysis of structures made of materials with temperature-dependent yield stress},
  series = {International Journal of Solids and Structures. 44 (2007), H. 13},
  journal   = {International Journal of Solids and Structures. 44 (2007), H. 13},
  isbn      = {0020-7683},
  pages     = {4524 -- 4540},
  year      = {2007},
  language  = {en}
}
@article{VantStaatBaroud2008,
  author    = {Vant, Christianne and Staat, Manfred and Baroud, Gamal},
  title     = {Percutaneous Vertebroplasty: A Review of Two Intraoperative Complications},
  series = {Bioengineering in Cell and Tissue Research / Artmann, Gerhard M. ; Chien, Shu (Eds.)},
  journal   = {Bioengineering in Cell and Tissue Research / Artmann, Gerhard M. ; Chien, Shu (Eds.)},
  publisher = {Springer},
  address   = {Berlin},
  isbn      = {978-3-540-75408-4},
  pages     = {527 -- 539},
  year      = {2008},
  language  = {en}
}
@article{TranKreissigVuetal.2008,
  author    = {Tran, Thanh Ngoc and Kreißig, R. and Vu, Duc Khoi and Staat, Manfred},
  title     = {Upper bound limit and shakedown analysis of shells using the exact Ilyushin yield surface},
  series = {Computer \& Structures. 86 (2008)},
  journal   = {Computer \& Structures. 86 (2008)},
  isbn      = {0045-7949},
  pages     = {1683 -- 1695},
  year      = {2008},
  language  = {en}
}
@article{StaatTranKreissig2008,
  author    = {Staat, Manfred and Tran, Thanh Ngoc and Kreißig, R.},
  title     = {Load bearing capacity of thin shell structures made of elastoplastic material by direct methods},
  series = {Technische Mechanik. 28 (2008), H. 3-4},
  journal   = {Technische Mechanik. 28 (2008), H. 3-4},
  pages     = {299 -- 309},
  year      = {2008},
  language  = {en}
}
@article{TranKreissigStaat2009,
  author    = {Tran, Thanh Ngoc and Kreißig, R. and Staat, Manfred},
  title     = {Probabilistic limit and shakedown analysis of thin plates and shells},
  series = {Structural safety. 31 (2009), H. 1},
  journal   = {Structural safety. 31 (2009), H. 1},
  publisher = {-},
  isbn      = {0167-4730},
  pages     = {1 -- 18},
  year      = {2009},
  language  = {en}
}
@article{TranPhamVuetal.2009,
  author    = {Tran, Thanh Ngoc and Pham, Phu Tinh and Vu, D. K. and Staat, Manfred},
  title     = {Reliability Analysis of Inelastic Shell Structures Under Variable Loads},
  series = {Limit States of Materials and Structures : Direct Methods / Hrsg. Dieter Weichert; Hrsg. Alan Ponter},
  journal   = {Limit States of Materials and Structures : Direct Methods / Hrsg. Dieter Weichert; Hrsg. Alan Ponter},
  publisher = {Springer Netherland},
  address   = {Berlin},
  isbn      = {978-1-4020-9633-4},
  pages     = {135 -- 156},
  year      = {2009},
  language  = {en}
}
@article{UllrichGrottkeRossaintetal.2010,
  author    = {Ullrich, Sebastian and Grottke, Oliver and Rossaint, Rolf and Staat, Manfred and Deserno, Thomas M. and Kuhlen, Torsten},
  title     = {Virtual Needle Simulation with Haptics for Regional Anaesthesia},
  pages     = {1 -- 3},
  year      = {2010},
  language  = {en}
}
@article{NguyenRaatschenStaat2010,
  author    = {Nguyen, N.-H. and Raatschen, Hans-J{\"u}rgen and Staat, Manfred},
  title     = {A hyperelastic model of biological tissue materials in tubular organs},
  pages     = {1 -- 12},
  year      = {2010},
  language  = {en}
}
@article{PhamVuTranetal.2010,
  author    = {Pham, Phu Tinh and Vu, Khoi Duc and Tran, Thanh Ngoc and Staat, Manfred},
  title     = {A primal-dual algorithm for shakedown analysis of elastic-plastic bounded linearly kinematic hardening bodies},
  pages     = {1 -- 7},
  year      = {2010},
  language  = {en}
}
@article{TranStaat2010,
  author    = {Tran, Thanh Ngoc and Staat, Manfred},
  title     = {Shakedown analysis of two dimensional structures by an edge-based smoothed finite element method},
  pages     = {1 -- 7},
  year      = {2010},
  language  = {en}
}
@article{GrottkeBraunschweigPhilippenetal.2010,
  author    = {Grottke, O. and Braunschweig, T. and Philippen, B. and Gatzweiler, Karl-Heinz and Gronloh, N. and Staat, Manfred and Rossaint, R. and Tolba, R.},
  title     = {A New Model for Blunt Liver Injuries in the Swine},
  series = {European Surgical Research. 44 (2010), H. 2},
  journal   = {European Surgical Research. 44 (2010), H. 2},
  isbn      = {1421-9921},
  pages     = {65 -- 73},
  year      = {2010},
  language  = {en}
}
@article{StaatVu2012,
  author    = {Staat, Manfred and Vu, Duc Khoi},
  title     = {Limit analysis of flaws in pressurized pipes and cylindrical vessels Part II: Circumferential defects},
  series = {Engineering Fracture Mechanics ; 97(2013), H. 1},
  volume    = {97},
  journal   = {Engineering Fracture Mechanics ; 97(2013), H. 1},
  publisher = {Elsevier},
  address   = {Amsterdam},
  issn      = {0013-7944},
  doi       = {10.1016/j.engfracmech.2012.05.017},
  pages     = {314 -- 333},
  year      = {2012},
  abstract  = {Upper and lower bound theorems of limit analyses have been presented in part I of the paper. Part II starts with the finite element discretization of these theorems and demonstrates how both can be combined in a primal-dual optimization problem. This recently proposed numerical method is used to guide the development of a new class of closed-form limit loads for circumferential defects, which show that only large defects contribute to plastic collapse with a rapid loss of strength with increasing crack sizes. The formulae are compared with primal-dual FEM limit analyses and with burst tests. Even closer predictions are obtained with iterative limit load solutions for the von Mises yield function and for the Tresca yield function. Pressure loading of the faces of interior cracks in thick pipes reduces the collapse load of circumferential defects more than for axial flaws. Axial defects have been treated in part I of the paper.},
  language  = {en}
}