Publications and Presentations

Journal Publications

  1. P. W. Dondl, P. Dorey and F. Roesler, "Bound on the Pseudospectrum of the Harmonic Oscillator with Imaginary Cubic Potential;" preprint, Supported by the MC-CIG project STP; preprint (arXiv)

  2. K. Anguige and P. W. Dondl, "Relaxation of the non-convex, incremental energy-minimization problem in single-slip strain-gradient plasticity;" Key Engineering Materials 651-653, 2015, partially supported by the MC-CIG project STP; preprint (pdf)

  3. K. Anguige and P. W. Dondl, “Relaxation of the single-slip condition in strain-gradient plasticity;” accepted for publication in Proc R Soc A, partially supported by the MC-CIG project STP, supported by the DFG research unit Microplast; preprint (pdf)

  4. P. W. Dondl, L. Mugnai and M. Röger; “A phase field model for the optimization of the Willmore energy in the class of connected surfaces;” accepted for publication in SIAM J Math Analysis; preprint (pdf)

  5. K. Anguige and P. W. Dondl; “Optimal energy scaling for a shear experiment in single-crystal plasticity with cross-hardening;” accepted for publication in Z Angew Math Phys, supported by the DFG research unit Microplast; preprint (pdf)

  6. P. W. Dondl, M. Scheutzow and S. Throm, “Pinning of interfaces in a random elastic medium and logarithmic lattice embeddings in percolation;” accepted for publication in Proc R Soc Edinburgh A, partially supported by the DFG research unit Analysis und Stochastik; preprint (pdf)

  7. P. W. Dondl and M. Scheutzow, “Positive speed of propagation in a semilinear parabolic interface model with unbounded random coefficients;” Networks and Heterogeneous Media; 7:137–150 (2012), partially supported by the DFG research unit Analysis und Stochastik; preprint (pdf)

  8. P. W. Dondl, L. Mugnai and M. Röger; “Confined elastic curves;” SIAM J. Appl. Math. 71:2205--2226 (2011); preprint (pdf)

  9. N. Dirr, P. W. Dondl, and M. Scheutzow; “Pinning of interfaces in random media;” Interfaces Free Bound. 13:411--421 (2011), partially supported by the DFG research unit Analysis und Stochastik; preprint (pdf)

  10. P. W. Dondl; “Numerical and analytical aspects of the pinning of martensitic phase boundaries;” review; GAMM-Mitt. 34(1):118–123, 2011, partially supported by the DFG research unit Analysis und Stochastik;  preprint (pdf)

  11. N. Dirr, P. W. Dondl, G. R. Grimmett, A. E. Holroyd, and M. Scheutzow; “Lipschitz percolation;” Elect. Comm. in Probab. 15:14–21, 2010, partially supported by the DFG research unit Analysis und Stochastik; preprint (pdf)

  12. P. W. Dondl, K. Hormann and J. Zimmer; “Modeling transformation paths of multiphase materials: The triple point of zirconia;” Phys. Rev. B. 79:104114, 2009; preprint (pdf)

  13. O. Dmitrieva, P. W. Dondl, S. Müller and D. Raabe; “Lamination microstructure in shear deformed copper single crystals;” Acta Mater. 57(12):3439–3449,2009; preprint (pdf)

  14. K. Bhattacharya and P. W. Dondl; “A sharp interface model for the propagation of martensitic phase boundaries;” Arch. Ration. Mech. Anal. 197(12):599–617, 2010; preprint (pdf)

  15. K. Bhattacharya and P. W. Dondl; “The influence of precipitates on the evolution of a martensitic phase boundary;” PAMM; 7(1):11512071151208; 2007; link

  16. P. W. Dondl, C.-P. Shen and K. Bhattacharya; “Computational analysis of martensitic thin films using subdivision surfaces;” Int. J. Numer. Meth. Engng.; 72(1):72–94, 2007;
    preprint (pdf)

  17. P. W. Dondl and J. Zimmer; “Modeling and simulation of martensitic phase transitions with a triple point;” J. Mech. Phys. Solids; 52(9):2057–2077, 2004; preprint (pdf)


Preprints

  1. P. W. Dondl and M. Scheutzow, “A note on the ballistic motion of interfaces in a field of unbounded obstacles;” preprint (pdf)

  2. K. Bhattacharya and P. W. Dondl; “Effective behavior of an interface propagating through a periodic elastic medium;” preprint (pdf)


Theses, Essays, and Nonrefereed

  1. P. W. Dondl and K. Anguige; ”Some energy estimates for strain gradient plasticity with cross-hardening;“ To be published in Oberwolfach Reports.

  2. O. Dmitrieva, P. W. Dondl, S. Müller and D. Raabe; ”Deformation laminate microstructures in shear deformed copper single crystals“; Scientific Report 2007/2008, Inter-departmental research activities—selected highlights; Max-Planck-Institut für Eisenforschung GmbH; 2008.

  3. K. Bhattacharya and P. W. Dondl; “The influence of precipitates on the evolution of a martensitic phase boundary;” Oberwolfach Reports; 5(4), 2008; link

  4. P. W. Dondl; “Structure and evolution of martensitic phase boundaries” (Ph.D. Thesis); Caltech; 2007; link

  5. P. W. Dondl; “Progress through Mechanics: The Martensitic Phase Transformation;” mechanics; 35(11,12):3–5, 2007; link

  6. P. W. Dondl; “Evolution of martensitic phase boundaries in heterogeneous media;” Oberwolfach Reports; 4(1):608610, 2007, link

  7. P. W. Dondl; “Evolution of martensitic phase boundaries in heterogeneous media;” Oberwolfach Reports; 4(1):411413, 2007, link

  8. P. W. Dondl; “Modeling and analysis of non-diffusive structural phase transitions in crystals” (Master of Science Thesis); TU-München; 2002; download as pdf


Presentations

  1. Invited speaker ”Second Scottish Partial Differential Equation Colloquium“, ICMS Edinburgh, UK, May 2014

  2. Participation in the Workshop ”Material Theories“; Mathematisches Forschungsinstitut Ober- wolfach; Oberwolfach, Germany; December 2013

  3. Organization of the Miniworkshop ”Inelastic and Non-equilibrium Material Behavior: from Atomistic Structure to Macroscopic Constitutive Relations“, Mathematisches Forschungs- institut Oberwolfach; Oberwolfach, Germany; November 2013

  4. Invited Speaker ”Evolution Problems for Material Defects“; SISSA; Trieste, Italy; October 2013

  5. Invited Minisymposium Speaker; SIAM Materials; Philadelphia, PA, USA; June 2013

  6. Participation in the Workshop ”Interplay of Analysis and Probability in Physics“; Mathematisches Forschungsinstitut Oberwolfach; Oberwolfach, Germany; January 2012

  7. Participation in the Workshop ”Gradient Systems“; Banff International Research Station; Banff, AB, Canada; May 2011

  8. Participation in the Workshop ”Rate-independent systems: Modeling, Analysis, and Computations“; Banff International Research Station; Banff, AB, Canada; August 2010

  9. ”Pinning of interfaces in random media“; Workshop: Coherent Structures in Evolution Equa-
    tions; Leiden, Netherlands, July 2010

  10. ”Lamination microstructure in a copper single crystal shear experiment“; Minisymposium ”Recent Advances in Modeling, Simulation, and Analysis of Dislocations in Solids“; SIAM Materials Meeting; Philadelphia, PA; USA; May 2010

  11. ”A phase field model for elastic confined structures“; Special Session on Biomembranes: Modeling, Analysis, and Computation; AMS Eastern Sectional Meeting, Newark, NJ, USA; May 2010

  12. ”Lamination Microstructure in a Copper Single Crystal Shear Experiment“; Minisymposium ”Mathematical Aspects of Plasticity“; GAMM; Karlsruhe, Germany; March 2010

  13. Participation in the Workshop ”Microstructures in Solids: From Quantum Models to Continua“; Mathematisches Forschungsinstitut Oberwolfach; Oberwolfach, Germany; March 2010

  14. Participation in the Workshop ”Material Theories“; Mathematisches Forschungsinstitut Ober- wolfach; Oberwolfach, Germany; December 2009

  15. “Pinning of Interfaces in Random Media;” Applied Math Seminar; Center for Nonlinear Analysis; Pittsburgh, PA; USA; September 2009

  16. “Pinning of Interfaces in Random Media;” Applied Math Seminar; Courant Institute; New York, NY; USA; September 2009

  17. “Pinning of Interfaces in Random Media;” Applied Math Seminar; Worcester Polytechnic Institute; Worcester, MA; USA; September 2009

  18. “Lamination microstructure in a copper single crystal shear experiment;” ICSMA; Dresden, Germany; August 2009

  19. “Lamination microstructure in a copper single crystal shear experiment;” IWoM3; Berlin, Germany; March 2009

  20. “Lamination microstructure in a copper single crystal shear experiment;” GAMM Jahrestagung; Gdansk, Poland; February 2009

  21. Participation in the workshop “Interplay of Analysis and Probability in Physics;” Mathematisches Forschungsinstitut Oberwolfach; Oberwolfach, Germany; December 2008

  22. “Pinning and depinning behavior of martensitic phase boundaries in a heterogeneous environment;” Berlin-Leipzig Seminar; Leipzig, Germany; October 2008

  23. “Evolution of martensitic phase boundaries in heterogeneous media;” Talk; GAMM Jahrestagung; Universität Bremen; Bremen; Germany; April 2008

  24. “Evolution of martensitic phase boundaries in heterogeneous media;” Talk; 7th GAMM Seminar on Microstructures; Ruhr-Universität Bochum; Bochum; Germany; January 2008

  25. “Evolution of martensitic phase boundaries in heterogeneous media;” Talk; Max-Planck
    Triple M Meeting; Sant Feliu de Guíxols; Spain; November 2007

  26. “The influence of precipitates on the evolution of a martensitic phase boundary;” Minisymposium talk; 6th International Congress on Industrial and Applied Mathematics; ETH Zürich, Zürich, Switzerland; July 2007

  27. Participation in the workshop “Analysis and Numerics for Rate-Independent Processes;” Mathematisches Forschungsinstitut Oberwolfach; Oberwolfach, Germany; February 2007

  28. Participation in the mini-workshop “Multiscale and Variational Methods in Material Science and Quantum Theory of Solids;” Mathematisches Forschungsinstitut Oberwolfach; Oberwolfach, Germany; February 2007

  29. “Evolution of martensitic phase boundaries in heterogeneous media;” Talk; Louisiana State University; Baton Rouge, Louisiana; January 2007

  30. “Computational analysis of martensitic thin films using subdivision surfaces;” Poster Presentation; ASME Fall Meeting; Chicago, Illinois; November 2006

  31. “Computational analysis of martensitic thin films using subdivision surfaces;” Poster Presentation; Harvey Mudd College Mathematics Conference on Scientific Computing; Claremont, California; November 2005

  32. “Computational analysis of martensitic thin films using subdivision surfaces;” Poster Presentation; Conference on Multi-scale problems: model ling, analysis and applications; Bath Institute for Complex Systems, Bath; September 2005