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2018

Dislocation Dynamics as Gradient Descent in a Space of Currents

Hochrainer, T., 5 Jan 2018, Advances in Mechanics of Materials and Structural Analysis . Cham: Springer, p. 207 - 221 14 p. (Advanced Structured Materials; vol. 80).

Research output: Chapter in Book/Report/Conference proceedingChapterResearchpeer-review

Open Access

Dislocation multiplication in stage II deformation of fcc multi-slip single crystals

Stricker, M., Sudmanns, M., Schulz, K., Hochrainer, T. & Weygand, D., 9 Jul 2018, In : Journal of the mechanics and physics of solids. 119, p. 319-333 15 p.

Research output: Contribution to journalArticleResearchpeer-review

Instability of dislocation fluxes in a single slip: Deterministic and stochastic models of dislocation patterning

Wu, R., Tüzes, D., Ispánovity, P. D., Groma, I., Hochrainer, T. & Zaiser, M., 24 Aug 2018, In : Physical Review / B. 98, 5, 054110.

Research output: Contribution to journalArticleResearchpeer-review

Open Access
Stochastic models
slip
Fluxes
Hydrodynamics
Linear stability analysis
2017

On the Derivation of Boundary Conditions for Continuum Dislocation Dynamics

Hochrainer, T., 30 Jul 2017, In : Crystals. 7, 235, p. 1-12 12 p., Crystals 2017, 7, 235.

Research output: Contribution to journalArticleResearchpeer-review

Open Access
derivation
Boundary conditions
Thermodynamics
boundary conditions
continuums
2016

Crysal Plasticity Finite Element Simulations based on Continuum Dislocation Dynamics

Ebrahimi, A. & Hochrainer, T., 2016, Proceedings in Applied Mathematics and Mechanics PAMM. 1 ed. Vol. 16. p. 325-326

Research output: Chapter in Book/Report/Conference proceedingConference contributionResearchpeer-review

Dislocations (crystals)
Plasticity
Fluxes
Plastics
Crystals

Experimental Validation of RVE Based Failure Simulations of Macro-Porous Materials

Krummich, P. D., Schneider, P. & Hochrainer, T., 2016, Proceedings in Applied Mathematics and Mechanics. 1 ed. Wiley-VCH , Vol. 16. p. 365-366

Research output: Chapter in Book/Report/Conference proceedingConference contributionResearchpeer-review

Relative Helicity and Jog Densities in Continuum Descriptions of Dislocations

Hochrainer, T., 2016, MRS Advances. 25 ed. Vol. 1. p. 1847-1852

Research output: Chapter in Book/Report/Conference proceedingConference contributionResearchpeer-review

Crystal defects
Dislocations (crystals)
Plasticity
Physics
Single crystals

Thermodynamically consistent continuum dislocation dynamics

Hochrainer, T., 2016, In : Journal of the mechanics and physics of solids. 88, p. 12–22

Research output: Contribution to journalArticleResearchpeer-review

continuums
Free energy
Tensors
Kinematics
Edge dislocations

Three-Dimensional Continuum Dislocation Dynamics Simulations of Dislocation Structure Evolution in Bending of a Micro-Beam

Ebrahimi, A. & Hochrainer, T., 2016, MRS Advances. p. 1791-1796

Research output: Chapter in Book/Report/Conference proceedingConference contributionResearchpeer-review

Computer simulation
Plastics
Piles
Tensors
Plasticity
2015

A sharp interface model for void growth in irradiated materials

Hochrainer, T. & El-Azab, A., 2015, In : Philosophical magazine (London) / Letters. 95, p. 948-972

Research output: Contribution to journalArticleResearchpeer-review

voids
Thermodynamics
Point defects
point defects
Defects

Multipole expansion of continuum dislocation dynamics in terms of alignment tensors

Hochrainer, T., 2015, In : Philosophical magazine (London) / Letters. 95, p. 1321-1367

Research output: Contribution to journalArticleResearchpeer-review

multipoles
Tensors
Plasticity
alignment
tensors

Multiscale Simulation of Plasticity in bcc Metals

Hochrainer, T., Weygand, D., Mrovec, M. & Gumbsch, P., 2015, In : Annual Review of Materials Research. 45, p. 369-390

Research output: Contribution to journalArticleResearchpeer-review

Plasticity
Metals
Screw dislocations
Computer simulation
Mechanical engineering
2014

2D-simulation of material flow during infeed rotary swaging using finite element method

Moumi, E., Ishkina, S., Kuhfuss, B., Hochrainer, T., Struss, A. & Hunkel, M., 2014, In : Procedia engineering . 81, C, p. 2342-2347 6 p.

Research output: Contribution to journalArticleResearchpeer-review

Swaging
Finite element method
Wire
Geometry

Asymptotic and uncertainty analyses of a phase field model for void formation under irradiation

Wang, N., Rokkam, S., Hochrainer, T., Pernice, M. & El-Azab, A., 2014, In : Computational materials science. 89, p. 165-175

Research output: Contribution to journalArticleResearchpeer-review

Phase Field Model
Voids
Irradiation
voids
Uncertainty

Continuum dislocation dynamics: towards a physically theory of plasticity

Hochrainer, T., Sandfeld, S., Zaiser, M. & Gumbsch, P., 2014, In : Journal of the mechanics and physics of solids. 63, 1, p. 167-178

Research output: Contribution to journalArticleResearchpeer-review

plastic properties
Plasticity
continuums
Dislocations (crystals)
Piles

Continuum dislocation dynamics based on the second order alignment tensor

Hochrainer, T., 2014, In : Materials Research Society Symposium Proceedings. 1651, mrsf13-1651-kk06-02.

Research output: Contribution to journalArticleResearchpeer-review

Tensors
alignment
tensors
continuums
Edge dislocations

Diffuse interface modeling of void growth in irradiated materials. Mathematical, thermodynamic and atomistic perspectives

El-Azab, A., Ahmed, K., Rokkam, S. & Hochrainer, T., 2014, In : Current Opinion in Solid State & Materials Science. 18, 2, p. 90-98

Research output: Contribution to journalArticleResearchpeer-review

Thermodynamics
Point defects
Equations of motion
Nucleation
Metals

Numerical implementation of continuum dislocation dynamics with the discontinuous-Galerkin method

Ebrahimi, A., Monavari, M. & Hochrainer, T., 2014, In : Materials Research Society Symposium Proceedings. 1651

Research output: Contribution to journalArticleResearchpeer-review

Galerkin method
Galerkin methods
Dislocations (crystals)
Plasticity
continuums
2013

Higher order alignment tensors for continuum dislocation dynamics

Hochrainer, T., 2013, Proceedings of the Multiscale Materials Modeling 2012 Conference. Materials Research Society, Vol. 1535. p. 1-7 7 p.

Research output: Chapter in Book/Report/Conference proceedingConference contributionResearchpeer-review

Dislocations (crystals)
Tensors
alignment
tensors
continuums

Moving dislocations in finite plasticity: a topological approach

Hochrainer, T., 2013, In : Zeitschrift für angewandte Mathematik und Mechanik. 93, 4, p. 252-268

Research output: Contribution to journalArticleResearchpeer-review

Dislocation
Plasticity
Dislocations (crystals)
Crystals
Tensors
2011

Continuum modeling of dislocation plasticity: Theory, numerical implementation and comparison to discrete dislocation simulations

Gumbsch, P., Sandfeld, S., Senger, J., Weygand, D. & Hochrainer, T., 2011, Conference Program for the 3rd International Conference on Heterogeneous Materials Mechanics, ICHMM 2011. p. 7-15 9 p.

Research output: Chapter in Book/Report/Conference proceedingConference contributionResearchpeer-review

Plasticity
Plastic flow
Microstructure
Torsional stress
Physical properties

Continuum modeling of dislocation plasticity: theory, numerical implementation and validation by discrete dislocation simulations

Sandfeld, S., Hochrainer, T., Gumbsch, P. & Zaiser, M., 2011, In : Journal of materials research. p. 623*632

Research output: Contribution to journalArticleResearchpeer-review

continuum modeling
plastic properties
Plasticity
continuums
Plastic flow

Towards Frank-Read sources in the continuum dislocation dynamics theory

Sandfeld, S. & Hochrainer, T., 2011, Numerical Analysis and Applied Mathematics, ICNAAM 2011 - International Conference on Numerical Analysis and Applied Mathematics. Vol. 1389. p. 1531-1534 4 p.

Research output: Chapter in Book/Report/Conference proceedingConference contributionResearchpeer-review

continuums
retaining
plastic properties
activation
microstructure
2010

Application of a 3d-continuum theory of dislocations to a problem of constrained plastic flow: Microbending of a thin film

Sandfeld, S., Hochrainer, T. & Zaiser, M., 2010, Mechanical Behavior at Small Scales - Experiments and Modeling. Lou, J. (ed.). Materials Research Society, Vol. 1224. p. 143-148 6 p.

Research output: Chapter in Book/Report/Conference proceedingConference contributionResearchpeer-review

plastic flow
Plastic flow
Microelectronics
Plasticity
continuums

Numerical implementation of a 3D continuum theory of dislocation dynamics and application to micro-bending

Sandfeld, S., Hochrainer, T., Gumbsch, P. & Zaiser, M., 2010, In : Philosophical magazine (London) / Letters. 90, 27-28, p. 3697-3728

Research output: Contribution to journalArticleResearchpeer-review

Dislocations (crystals)
Tensors
continuums
Plasticity
Crystal lattices