Small deformations: Verification examples by Vogel,Maßmann

These benchmark examples test the implementation of small deformations process with analytical solutions presented by Vogel/Massmann.

A detailed description can be found in the OGS Benchmark books. The following table links the OGS problem descriptions with its corresponding chapters in the benchmark books.

Book/Chapter	Benchmark name
Kolditz et al. 2015
2.4.1	m1_1Dload
2.4.3	m1_3Dgravity
Kolditz et al. 2016
4.1.1	m1_1Dlozenge
4.1.2	m1_2Dload
4.1.3	m1_3Dload
Kolditz et al. 2018
3.7	m1_3Dsquare
3.9	m1_3Dbottom
3.10	m1_3Dtopload
3.15	Mechanics/Linear/Orthotropy/m3_3Dshearz.prj
3.15 (rotated)	Mechanics/Linear/Orthotropy/m3_3Dshearz_rot.prj
3.16	Mechanics/Linear/Orthotropy/m3_3Dtopload.prj
3.16 (rotated)	Mechanics/Linear/Orthotropy/m3_3Dtoploadlc.prj

Note that OGS uses plane strain assumptions in two dimensions (2D) as it is common in geomechanics.

References

• Olaf Kolditz et al. (2015): Thermo-Hydro-Mechanical-Chemical Processes in Fractured Porous Media: Modelling and Benchmarking – Closed-Form Solutions. ISBN: 978-3-319-11893-2, Springer International Publishing, DOI:10.1007/978-3-319-11894-9 Copy BibTeX

  @book{Kolditz:2015,
   author = {Kolditz, Olaf and Shao, Hua and Wang, Wenqing and Bauer Sebastian},
   category = {Book},
   doi = {10.1007/978-3-319-11894-9},
   isbn = {978-3-319-11893-2},
   publisher = {Springer International Publishing},
   title = {Thermo-Hydro-Mechanical-Chemical Processes in Fractured Porous Media: Modelling and Benchmarking – Closed-Form Solutions},
   year = {2015}
  }

• Olaf Kolditz et al. (2016): Thermo-Hydro-Mechanical-Chemical Processes in Fractured Porous Media: Modelling and Benchmarking – Benchmarking Initiatives. ISBN: 978-3-319-29223-6, Springer International Publishing, DOI:10.1007/978-3-319-29224-3 Copy BibTeX

  @book{Kolditz:2016,
   author = {Kolditz, Olaf and Görke, Uwe-Jenks and Shao, Hua and Wang, Wenqing and Bauer Sebastian},
   category = {Book},
   doi = {10.1007/978-3-319-29224-3},
   isbn = {978-3-319-29223-6},
   publisher = {Springer International Publishing},
   title = {Thermo-Hydro-Mechanical-Chemical Processes in Fractured Porous Media: Modelling and Benchmarking – Benchmarking Initiatives},
   year = {2016}
  }

• Olaf Kolditz et al. (2018): Thermo-Hydro-Mechanical-Chemical Processes in Fractured Porous Media: Modelling and Benchmarking – From Benchmarking to Tutoring. ISBN: 978-3-319-68224-2, Springer International Publishing, DOI:10.1007/978-3-319-68225-9 Copy BibTeX

  @book{Kolditz:2018,
   author = {Kolditz, Olaf and Nagel, Thomas and Shao, Hua and Wang, Wenqing and Bauer Sebastian},
   category = {Book},
   doi = {10.1007/978-3-319-68225-9},
   isbn = {978-3-319-68224-2},
   publisher = {Springer International Publishing},
   title = {Thermo-Hydro-Mechanical-Chemical Processes in Fractured Porous Media: Modelling and Benchmarking – From Benchmarking to Tutoring},
   year = {2018}
  }