Recent Preprints

The hyperlinks below refer to the originally published places. If your institution does not have electronic access I am happy to send you the original hardcopies. The indicated preprints are not completely identical with the final paper.

 

 

P. Neff and K. Chelminski. $H^1_{loc}$ stress and strain regularity in Cosserat plasticity.
TUD-Preprint Nr. 2557   (accepted in ZAMM)

P. Neff and I. Münch and J. Jeong and H. Ramezani.
Mean field modelling of isotropic random Cauchy elasticity versus microstretch elasticity.      TUD-Preprint Nr. 2556    (accepted in ZAMP)

P.Neff and K. Hong and J. Jeong. The Reissner-Mindlin plate is the $\Gamma$-limit of Cosserat elasticity.    TUD-Preprint Nr. 2555

J. Jeong and H. Ramezani and I. Münch and P. Neff,
Simulation of linear isotropic Cosserat elasticity with conformally invariant curvature.     TUD-Preprint Nr. 2558

P. Neff and J. Jeong.
A new paradigm: the linear isotropic Cosserat model with conformally invariant curvature energy.      TUD-Preprint Nr. 2559

I. Münch and W. Wagner and P. Neff.
Experiment and modelling of the microstructural behaviour for transversal isotropic materials under tension loading.  submitted to Int. J. Solids Struct.    Preprint    

I. Münch and W. Wagner and P. Neff.
Theory and FE-analysis for structures with large deformation under magnetic loading. submitted to Comp. Mech.  submitted to Comp. Mech.      Preprint 

B. Svendsen and P. Neff and A. Menzel.
On constitutive and configurational aspects of models for gradient continua with microstructure. submitted to ZAMM,  Preprint

P. Neff and J. Jeong and H. Ramezani.
Subgrid interaction and micro-randomness - novel invariance requirements in infinitesimal gradient elasticity.  submitted to J. Mech. Phys. Solids,    TUD-Preprint Nr. 2568

 

Publications in Refereed Journals (Analysis/Numerics)

[1] P. Neff. On Korn’s first inequality with nonconstant coefficients. Proc. Roy. Soc. Edinb. A, 132:221–243, 2002. pdf-version,    location,     TUD-Preprint Nr. 2080,       W. Pompes generalization

 

[2] P. Neff. Finite multiplicative plasticity for small elastic strains with linear balance equations
and grain boundary relaxation
. Cont. Mech. Thermodynamics, 15(2):161– 195, 2003.´
(pdf) Springer-PDF,  DOI,         TUD-Preprint Nr. 2127

[3] P. Neff and C. Wieners. Comparison of models for finite plasticity. A numerical study.
Comput. Visual. Sci., 6:23–35, 2003. Springer PDF (1,5 MB)DOI

[4] P. Neff.
A geometrically exact Cosserat-shell model including size effects, avoiding
degeneracy in the thin shell limit. Part I: Formal dimensional reduction for elastic
plates and existence of minimizers for positive Cosserat couple modulus
. Cont. Mech.
Thermodynamics, 16(6):577–628, 2004. Springer-PDF, DOITUD-Preprint Nr. 2301

[5] A. Lew, P. Neff, D. Sulsky, and M. Ortiz. Optimal BV estimates for a discontinuous
Galerkin method for linear elasticity
.
Applied Mathematics Research Express (AMRX),
3:73– 106, 2004. AMRX- Full Text (PDF)DOI, TUD-Preprint Nr. 2300

[6] P. Neff. Local existence and uniqueness for quasistatic finite plasticity with grain
boundary relaxation. Quart. Appl. Math., 63:88–116, 2005. QAM-PDF, TUD-Preprint Nr. 2359
http://www.ams.org/distribution/qam/2005-63-01/S0033-569X-05-00953-9/home.html

[7] P. Neff.
A geometrically exact viscoplastic membrane-shell with viscoelastic
transverse shear resistance avoiding degeneracy in the thin-shell limit. Part I:
The viscoelastic membrane-plate
. Zeitschrift Angewandte Mathematik Physik
(ZAMP), 56(1):148–182, 2005. ZAMP-PDF, DOI, TUD-Preprint Nr. 2337

[8] P. Neff. Local existence and uniqueness for a geometrically exact membrane-plate with viscoelastic transverse shear resistance. Math. Meth. Appl. Sci. (MMAS), 28:1031–1060, 2005.
DOITUD-Preprint Nr. 2364

[9] P. Neff and K. Chelminski. Infinitesimal elastic-plastic Cosserat micropolar theory.
Modelling and global existence in the rate independent case.
Proc. Roy. Soc. Edinb. A, 135:1017–1039, 2005. PRSE-PDF-downloadTUD-Preprint Nr. 2290

[10] P. Neff and S. Forest. A geometrically exact micromorphic model for elastic metallic foams accounting for affine microstructure. Modelling, existence of minimizers, identification of moduli and computational results. J. Elasticity, 87:239–276, 2007.  DOITUD-Preprint Nr. 2373
´
[11] P. Neff.
Critique of ”Two-dimensional examples of rank-one convex functions that are
not quasiconvex” by M.K. Benaouda and J.J. Telega. Annales Polonici Mathematici,
86.2:193–195, 2005. (pdf)

[12] P. Neff.
Existence of minimizers for a finite-strain micromorphic elastic solid.
Proc. Roy. Soc. Edinb. A, 136:997–1012, 2006. PRSE-PDF,  location,       TUD-Preprint Nr. 2318

[13] P. Neff and K. Chelminski.
Well-posedness of dynamic Cosserat plasticity.
Appl. Math. Optim., 56:19–35, 2007.  DOI,              TUD-Preprint Nr. 2412

[14] P. Neff.
The Cosserat couple modulus for continuous solids is zero viz the linearized
Cauchy-stress tensor is symmetric. Zeitschrift f. Angewandte Mathematik Mechanik,
86:892–912, 2006.      DOI, TUD-Preprint Nr. 2409

[15] P. Neff.
A geometrically exact planar Cosserat shell-model with microstructure.
Existence of minimizers for zero Cosserat couple modulus.
Math. Mod. Meth. Appl. Sci.(M3AS), 17(3):363–392, 2007.  DOI, TUD-Preprint Nr. 2357

[16] P. Neff and I. Münch.
Curl bounds Grad on SO(3).
ESAIM: Control, Optimisation and Calculus of Variations, 14(1):148–159, 2008.
DOI, TUD-Preprint Nr. 2455

[17] P. Neff, K. Chelminski, W. Müller and C. Wieners.
A numerical solution
method for an infinitesimal elastic-plastic Cosserat model.
Math. Mod. Meth. Appl. Sci. (M3AS), 17(8):1211–1239, 2007.  DOI, TUD-Preprint 2470

[18] P. Neff and K. Chelminski.
A geometrically exact Cosserat shell-model for defective
elastic crystals. Justification via Γ-convergence.
Interfaces and Free Boundaries,
9:455–492, 2007. IFB-PDF Full-Text PDF, location, TUD-Preprint Nr. 2365

[19] K. Chelminski and P. Neff.
A note on approximation of Prandtl-Reuss Plasticity
through Cosserat-Plasticity. Quart. Appl. Math., 66(2):351–357, 2008.
QAM-
PDFTUD-Preprint Nr. 2468

[20] K. Weinberg and P. Neff.
A geometrically exact thin membrane model-investigation
of large deformations and wrinkling. Int. J. Num. Meth. Engrg., 74(6):871–893, 2007. 
DOI, TUD-Preprint Nr. 2500

[21] P. Neff and D. Knees.
Regularity up to the boundary for nonlinear elliptic
systems arising in time-incremental infinitesimal elasto-plasticity.
,
SIAM J. Math. Anal. 40(1):21-43, 2008.   DOI, TUD-Preprint Nr. 2520

[22] P. Neff, K. Chelminski and H.D. Alber.
Notes on strain gradient plasticity. Finite
strain covariant modelling and global existence in the infinitesimal rate-
independent case. Math. Mod. Meth. Appl. Sci. (M3AS), 19(2), 2009. M3AS-PDF,
TUD-Preprint Nr. 2502

[23] J. Jeong and P. Neff.
Existence, uniqueness and stability in linear Cosserat elastic-
ity for weakest curvature conditions.
to appear in Math. Mech. Solids, 2008. MMS-PDF
TUD-Preprint Nr. 2550

[24] P. Neff, A. Sydow, and C. Wieners.
Numerical approximation of incremental in-
finitesimal gradient plasticity.
to appear in Int. J. Num. Meth. Engrg., 2008. DOI, Preprint-IWRM 08/01

[25] P. Neff and K. Chelminski.
$H^1_{loc}$ stress and strain regularity in Cosserat plasticity.
TUD-Preprint Nr. 2557,  to appear in Z. Angew. Math. Mech. 2009

[26] P.Neff and I. Münch and J. Jeong and H. Ramezani. Mean field modelling of isotropic random Cauchy elasticity versus microstretch elasticity. TUD-Preprint Nr. 2556, to appear in Z. Angew. Math. Phys. 2009

Publications in Refereed Journals (Engineering):

[1] J. Schröder and P. Neff. Invariant formulation of hyperelastic transverse isotropy based on polyconvex free energy functions. Int. J. Solids Struct., 40(2):401–445, 2003. IJSS-PDF, DOI


[2] S. Hartmann and P. Neff. Polyconvexity of generalized polynomial type hyperelastic strain energy functions for near incompressibility. Int. J. Solids Struct., 40(11):2767– 2791, 2003. IJSS-PDF,   DOI      


[3] J. Schröder, P. Neff, and D. Balzani. A variational approach for materially stable anisotropic hyperelasticity. Int. J. Solids Struct., 42(15):4352–4371, 2005.   DOI


[4] D. Balzani, P. Neff, J. Schröder and G.A. Holzapfel. A polyconvex framework for soft biological tissues. Adjustment to experimental data. Int. J. Solids Struct., 43(20):6052–6070, 2006.  DOI  


[5] P. Neff. A finite-strain elastic-plastic Cosserat theory for polycrystals with grain rotations. Int. J. Eng. Sci., 44:574–594, 2006. IJENG-PDF,    DOI,       TUD-Preprint Nr. 2297


[6] J. Merodio and P. Neff. A note on tensile instabilities and loss of ellipticity for a fiber-reinforced nonlinearly elastic solid. Arch. Mech., 58:293–303, 2006.  location


[7] P. Neff, A. Fischle, and I. Münch. Symmetric Cauchy-stresses do not imply symmetric Biot-strains in weak formulations of isotropic hyperelasticity with rotational degrees of freedom.  Acta Mechanica, 197(1-2):19-30, 2008.   DOITUD-Preprint Nr. 2518


[8] P. Neff. Remarks on invariant modelling in finite strain gradient plasticity. Technische Mechanik, 28(1):13–21, 2008. Technische Mechanik PDF


[9] J. Schröder, P. Neff, and V. Ebbing. Anisotropic polyconvex energies on the basis of metrics reflecting material symmetries. to appear in J. Mech. Phys. Solids, 2008. JMPS-PDF, Preprint-Essen

 

[10] V. Ebbing, J. Schröder and P. Neff. Approximation of anisotropic elasticity tensorsat the reference state with polyconvex energies. to appear in Archive of Applied Mech., 2008. AAM-PDF, Preprint-Essen

Monographies and Refereed Book Contributions

[1] P. Neff. Ein stationärer Wirbelring als schwache Lösung der Eulergleichung im beschränkten Gebiet. TUD-Preprint 1794, Signatur Kf 32/349 Universitäts- und Landesbibliothek Darmstadt. Fachbereich Mathematik, Technische Universität Darmstadt, November 1995.


[2] P. Neff. Mathematische Analyse multiplikativer Viskoplastizität. Ph.D. Thesis, Technische Universität Darmstadt. Shaker Verlag, ISBN:3-8265-7560-1, Aachen, 2000.   Zentralblatt


[3] P. Neff. Geometrically exact Cosserat theory for bulk behaviour and thin structures. Modelling and mathematical analysis. Signatur HS 7/0973. Habilitationsschrift, Universitäts- und Landesbibliothek, Technische Universität Darmstadt, Darmstadt, 2004.


[4] P. Neff. Some results concerning the mathematical treatment of finite multiplicative elasto-plasticity. In K. Hutter and H. Baaser, editors, SFB298: Deformation and failure in metallic and granular structures-Abschlussbericht, volume 10 of Lecture Notes in Applied and Computational Mechanics, pages 251–274. Springer Verlag, 2003.


[5] J. Schröder and P. Neff. On the construction of polyconvex anisotropic free energy functions. In C. Miehe, editor, IUTAM-Symposium on Computational Mechanics of Solid Materials at Large Strains (in Stuttgart, 2001), volume 108 of Solid Mechanics and its Applications, pages 171–180. Kluwer Academic Publisher, 2003.


[6] P. Neff. On material constants for micromorphic continua. In Y. Wang and K. Hutter, editors, Trends in Applications of Mathematics to Mechanics, STAMM Proceedings, Seeheim 2004, pages 337–348. Shaker Verlag, Aachen, 2005.   TUD-Preprint Nr. 2370


[7] D. Balzani, J. Schröder, D. Gross, and P. Neff. Modeling of Anisotropic Damage in Arterial Walls Based on Polyconvex Stored Energy Functions. In D.R.J. Owen, E. Onate, and B. Suarez, editors, Computational Plasticity VIII, Fundamentals and Applications, Part 2, pages 802–805. CIMNE, Barcelona, 2005.


[8] P. Neff. The Γ-limit of a finite strain Cosserat model for asymptotically thin domains versus a formal dimensional reduction. In W. Pietraszkiewiecz and C. Szymczak, editors, Shel l-Structures: Theory and Applications., pages 149–152. Taylor and Francis Group, London, 2006.


[9] J. Schröder and P. Neff. Polyconvex anisotropic hyperelastic energies. In C.A. Mota Soares et al., editor, III European Conference on Computational Mechanics. Solids, Structures and Coupled Problems in Engineering. Lissabon, 2006.


[10] P. Neff and K. Chelminski. Elasto-Plasticity as a Limit of Cosserat-Plasticity. In P. Gumbsch, editor, 3rd International Conference on Multiscale Materials Modeling, pages 421–424. Fraunhofer IRB Verlag, Freiburg, 2006.


[11] I. Münch, W. Wagner, and P. Neff. Physical aspects of a nonlinear Cosserat formulation and some applications for shells. Proceedings: Advanced Numerical Analysis of Shel l-like Structures, Conference Zagreb 2007, 9/2007.


[12] P. Neff. Uniqueness of strong solutions in infinitesimal perfect gradient plasticity with plastic spin. In B.D. Reddy, editor, IUTAM-Symposium on Theoretical, Modelling and Computational Aspects of Inelastic Media (in Cape Town, 2008),  page 129-140, Springer, Berlin, 2008.


[13] P. Neff. Bella Figura in Udine. Bericht im GAMM-Rundbrief 1/2008 zur CISM-Tagung in Udine, 2008.

Proceedings

[1] P. Neff. A model describing small elastic deformations and Korn’s inequality with nonconstant coefficients. GAMM-Proceedings: Supplement 3, Zeitschrift Angewandte Mathematik Mechanik, 81:607–608, 2001.


[2] P. Neff. Local existence and uniqueness for a model of finite multiplicative visco- plasticity and the role of an extended Korn’s first inequality. Proceedings of the 3. ISAAC Conference, FU Berlin 2001, pages 1311–1315, 2003.


[3] P. Neff. On a viscoplastic approximation in finite plasticity. Proc. Appl. Math. Mech., 1:403–404, 2002.


[4] J. Schröder and P. Neff. Construction of polyconvex, anisotropic free-energy functions. Proc. Appl. Math. Mech., 2:172–173, 2003.


[5] J. Schröder and P. Neff. Application of polyconvex anisotropic free energies to soft tissues. In H.A. Mang, F.G. Rammerstorfer, and J. Eberhardsteiner, editors, Pro- ceedings of the Fifth World Congress on Computational Mechanics (WCCM V) in Vienna, Austria 2002. 2002.


[6] P. Neff. Existence of minimizers for a geometrically exact Cosserat solid. Proc. Appl. Math. Mech., 4(1):548–549, 2004.


[7] P. Neff. The Γ-limit of a finite strain Cosserat model for asymptotically thin domains and a consequence for the Cosserat couple modulus. Proc. Appl. Math. Mech., 5(1):629–630, 2005.


[8] P. Neff, I. Münch and W. Wagner. Constitutive parameters for a nonlinear Cosserat model. A numerical study. Oberwolfach Reports 52/2005, European Mathematical Society, 2(4):2994, 2005.


[9] D. Balzani, J. Schröder, D. Gross, and P. Neff. Modellierung von Hyperelastizität und Anisotroper Diskontinuierlicher Schädigung in Biologischen Geweben. In Symposium on: Biomedizinische Technik. Austrian Society of Biomedical Engineering, Graz, Austria, 2004.


[10] P. Neff and I. Münch. Curl bounds Grad on SO(3). Proc. Appl. Math. Mech., 2006.


[11] P. Neff and I. Münch. Constitutive modeling and FEM for a nonlinear Cosserat continuum. Proc. Appl. Math. Mech., 2006.


[12] P. Neff. Global existence and uniqueness for isotropic rate-independent gradient plasticity. Proc. Appl. Math. Mech., 2007.


[13] P. Neff and K. Weinberg. A geometrically exact membrane model for isotropic foils and fabrics. Proc. Appl. Math. Mech., 2007.


[14] J. Schröder, P. Neff, and V. Ebbing. Polyconvex materials with cubic symmetry: an alternative approach based on metric tensors. Proc. Appl. Math. Mech., 2007.


[15] A. Klawonn, P. Neff, O. Rheinbach, and S. Vanis. Exact and inexact FETI-DP methods and applications to linear elasticity. Proc. Appl. Math. Mech., 2007.


[16] A. Fischle, P. Neff, and I. Münch. Symmetric Cauchy stresses do not imply symmetric Biot strains in weak formulations of isotropic hyperelasticity with rotational degrees of freedom. Proc. Appl. Math. Mech., ?:??–??, 2008.


[17] I. Münch, P. Neff, and W. Wagner. Microstructural behaviour of transversal isotropic material. Proc. Appl. Math. Mech., 2008.


[18] V. Ebbing, J. Schröder, and P. Neff. Polyconvex models for arbitrary anisotropic materials. Proc. Appl. Math. Mech., ?:??–??, 2008.


[19] A. Klawonn, P. Neff, O. Rheinbach, and S. Vanis. FETI-DP methods for p- elasticity. Proc. Appl. Math. Mech., ?:??–??, 2008.

 

[20] W. Müller, P. Neff and C. Wieners. Efficient Cosserat elasto-plasticity. Proc. Appl. Math. Mech., ?:??–??, 2008.