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Documents authored by Müller, Ralf

Document
Complete Volume
DOI: 10.4230/OASIcs.iPMVM.2020
OASIcs, Volume 89, iPMVM 2020, Complete Volume

Authors: Christoph Garth, Jan C. Aurich, Barbara Linke, Ralf Müller, Bahram Ravani, Gunther H. Weber, and Benjamin Kirsch

Published in: OASIcs, Volume 89, 2nd International Conference of the DFG International Research Training Group 2057 – Physical Modeling for Virtual Manufacturing (iPMVM 2020)

Abstract
OASIcs, Volume 89, iPMVM 2020, Complete Volume
Cite as

2nd International Conference of the DFG International Research Training Group 2057 – Physical Modeling for Virtual Manufacturing (iPMVM 2020). Open Access Series in Informatics (OASIcs), Volume 89, pp. 1-364, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2021)

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@Proceedings{garth_et_al:OASIcs.iPMVM.2020,
  title =	{{OASIcs, Volume 89, iPMVM 2020, Complete Volume}},
  booktitle =	{2nd International Conference of the DFG International Research Training Group 2057 – Physical Modeling for Virtual Manufacturing (iPMVM 2020)},
  pages =	{1--364},
  series =	{Open Access Series in Informatics (OASIcs)},
  ISBN =	{978-3-95977-183-2},
  ISSN =	{2190-6807},
  year =	{2021},
  volume =	{89},
  editor =	{Garth, Christoph and Aurich, Jan C. and Linke, Barbara and M\"{u}ller, Ralf and Ravani, Bahram and Weber, Gunther H. and Kirsch, Benjamin},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/OASIcs.iPMVM.2020},
  URN =		{urn:nbn:de:0030-drops-137486},
  doi =		{10.4230/OASIcs.iPMVM.2020},
  annote =	{Keywords: OASIcs, Volume 89, iPMVM 2020, Complete Volume}
}
Document
Front Matter
DOI: 10.4230/OASIcs.iPMVM.2020.0
Front Matter, Table of Contents, Preface, Conference Organization

Authors: Christoph Garth, Jan C. Aurich, Barbara Linke, Ralf Müller, Bahram Ravani, Gunther H. Weber, and Benjamin Kirsch

Published in: OASIcs, Volume 89, 2nd International Conference of the DFG International Research Training Group 2057 – Physical Modeling for Virtual Manufacturing (iPMVM 2020)

Abstract
Front Matter, Table of Contents, Preface, Conference Organization
Cite as

2nd International Conference of the DFG International Research Training Group 2057 – Physical Modeling for Virtual Manufacturing (iPMVM 2020). Open Access Series in Informatics (OASIcs), Volume 89, pp. 0:i-0:xii, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2021)

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@InProceedings{garth_et_al:OASIcs.iPMVM.2020.0,
  author =	{Garth, Christoph and Aurich, Jan C. and Linke, Barbara and M\"{u}ller, Ralf and Ravani, Bahram and Weber, Gunther H. and Kirsch, Benjamin},
  title =	{{Front Matter, Table of Contents, Preface, Conference Organization}},
  booktitle =	{2nd International Conference of the DFG International Research Training Group 2057 – Physical Modeling for Virtual Manufacturing (iPMVM 2020)},
  pages =	{0:i--0:xii},
  series =	{Open Access Series in Informatics (OASIcs)},
  ISBN =	{978-3-95977-183-2},
  ISSN =	{2190-6807},
  year =	{2021},
  volume =	{89},
  editor =	{Garth, Christoph and Aurich, Jan C. and Linke, Barbara and M\"{u}ller, Ralf and Ravani, Bahram and Weber, Gunther H. and Kirsch, Benjamin},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/OASIcs.iPMVM.2020.0},
  URN =		{urn:nbn:de:0030-drops-137497},
  doi =		{10.4230/OASIcs.iPMVM.2020.0},
  annote =	{Keywords: Front Matter, Table of Contents, Preface, Conference Organization}
}
Document
DOI: 10.4230/OASIcs.iPMVM.2020.9
A Phase Field Modeling Approach of Crack Growth in Materials with Anisotropic Fracture Toughness

Authors: Christoph Schreiber, Tim Ettrich, Charlotte Kuhn, and Ralf Müller

Published in: OASIcs, Volume 89, 2nd International Conference of the DFG International Research Training Group 2057 – Physical Modeling for Virtual Manufacturing (iPMVM 2020)

Abstract
Within this contribution, we present a diffuse interface approach for the simulation of crack nucleation and growth in materials, which incorporates an orientation dependency of the fracture toughness. After outlining the basic motivation for the model from an engineering standpoint, the phase field paradigm for fracture is introduced. Further, a specific phase field model for brittle fracture is reviewed, where we focus on the meaning of the auxiliary parameter differentiating between material phases and the coupling of such a parameter to continuum equations in order to obtain the characteristic self organizing model properties. This specific model, as will be explained, provides the phenomenological and methodical basis for the presented enhancement. The formulation of an appropriate evolution equation in terms of a Ginzburg-Landau type equation will be highlighted and several comments on sharp interface models will be made to present a brief comparison. Following up on the basics we then introduce the formulation of a modified version of the model, which additionally to the handling of cracks in linear elastic materials under quasi static loading is also capable of taking into account the effect of resistance variation with respect to the potential crack extension direction. The strong and also the weak forms of the respective governing equations corresponding to the developed anisotropic phase field model are presented. Utilizing the weak formulation as starting point for the discretization of the two fields (displacement field and the phase field), the computational framework in terms of finite elements is introduced. We finally explain several test cases investigated within simulations and discuss the corresponding numerical results. Besides examples, which are set up to illustrate the general model properties, a comparison with crack paths obtained by experimental investigations will be presented in order to show the potential of the developed phase field model.
Cite as

Christoph Schreiber, Tim Ettrich, Charlotte Kuhn, and Ralf Müller. A Phase Field Modeling Approach of Crack Growth in Materials with Anisotropic Fracture Toughness. In 2nd International Conference of the DFG International Research Training Group 2057 – Physical Modeling for Virtual Manufacturing (iPMVM 2020). Open Access Series in Informatics (OASIcs), Volume 89, pp. 9:1-9:17, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2021)

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@InProceedings{schreiber_et_al:OASIcs.iPMVM.2020.9,
  author =	{Schreiber, Christoph and Ettrich, Tim and Kuhn, Charlotte and M\"{u}ller, Ralf},
  title =	{{A Phase Field Modeling Approach of Crack Growth in Materials with Anisotropic Fracture Toughness}},
  booktitle =	{2nd International Conference of the DFG International Research Training Group 2057 – Physical Modeling for Virtual Manufacturing (iPMVM 2020)},
  pages =	{9:1--9:17},
  series =	{Open Access Series in Informatics (OASIcs)},
  ISBN =	{978-3-95977-183-2},
  ISSN =	{2190-6807},
  year =	{2021},
  volume =	{89},
  editor =	{Garth, Christoph and Aurich, Jan C. and Linke, Barbara and M\"{u}ller, Ralf and Ravani, Bahram and Weber, Gunther H. and Kirsch, Benjamin},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/OASIcs.iPMVM.2020.9},
  URN =		{urn:nbn:de:0030-drops-137581},
  doi =		{10.4230/OASIcs.iPMVM.2020.9},
  annote =	{Keywords: Phase field modeling, Brittle fracture, Anisotropic fracture toughness, Finite elements}
}
Document
DOI: 10.4230/OASIcs.iPMVM.2020.13
An Improved Particle Finite Element Method for the Simulation of Machining Processes

Authors: Xialong Ye, Juan Manuel Rodríguez Prieto, and Ralf Müller

Published in: OASIcs, Volume 89, 2nd International Conference of the DFG International Research Training Group 2057 – Physical Modeling for Virtual Manufacturing (iPMVM 2020)

Abstract
Machining is one of the most common and versatile manufacturing processes in industry, e.g. automotive industry and aerospace industry. But classical numerical methods such as the Finite Element Method (FEM) have difficulties to simulate it, because the material undergoes large deformations, large strain, large strain rates and high temperatures in this process. One option to simulate such kind of problems is the Particle Finite Element Method (PFEM) which combines the advantages of continuum mechanics and discrete modeling techniques. In this study we develop the PFEM further and call it the Adaptive Particle Finite Element Method (A-PFEM). Compared to the PFEM the A-PFEM enables insertion of particles and improves significantly the mesh quality along the numerical simulation. The A-PFEM improves accuracy and precision, while it decreases computing time and resolves the phenomena that take place in machining. Because metal cutting involves plastic deformation we resort to the J₂ flow theory with isotropic hardening. At last some numerical examples are presented to compare the performance of the PFEM and A-PFEM.
Cite as

Xialong Ye, Juan Manuel Rodríguez Prieto, and Ralf Müller. An Improved Particle Finite Element Method for the Simulation of Machining Processes. In 2nd International Conference of the DFG International Research Training Group 2057 – Physical Modeling for Virtual Manufacturing (iPMVM 2020). Open Access Series in Informatics (OASIcs), Volume 89, pp. 13:1-13:9, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2021)

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@InProceedings{ye_et_al:OASIcs.iPMVM.2020.13,
  author =	{Ye, Xialong and Prieto, Juan Manuel Rodr{\'\i}guez and M\"{u}ller, Ralf},
  title =	{{An Improved Particle Finite Element Method for the Simulation of Machining Processes}},
  booktitle =	{2nd International Conference of the DFG International Research Training Group 2057 – Physical Modeling for Virtual Manufacturing (iPMVM 2020)},
  pages =	{13:1--13:9},
  series =	{Open Access Series in Informatics (OASIcs)},
  ISBN =	{978-3-95977-183-2},
  ISSN =	{2190-6807},
  year =	{2021},
  volume =	{89},
  editor =	{Garth, Christoph and Aurich, Jan C. and Linke, Barbara and M\"{u}ller, Ralf and Ravani, Bahram and Weber, Gunther H. and Kirsch, Benjamin},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/OASIcs.iPMVM.2020.13},
  URN =		{urn:nbn:de:0030-drops-137628},
  doi =		{10.4230/OASIcs.iPMVM.2020.13},
  annote =	{Keywords: Particle Finite Element Method, Alpha Shape Method, Metal Cutting}
}
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