Thermo-electro-elastic pump

Thermo_electro_elasticity/CMakeLists.txt

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+##
+#  CMake script for the step-8 tutorial program:
+##
+
+# Set the name of the project and target:
+SET(TARGET "thermo-electro-elastic_pump")
+
+# Declare all source files the target consists of. Here, this is only
+# the one step-X.cc file, but as you expand your project you may wish
+# to add other source files as well. If your project becomes much larger,
+# you may want to either replace the following statement by something like
+#    FILE(GLOB_RECURSE TARGET_SRC  "source/*.cc")
+#    FILE(GLOB_RECURSE TARGET_INC  "include/*.h")
+#    SET(TARGET_SRC ${TARGET_SRC}  ${TARGET_INC})
+# or switch altogether to the large project CMakeLists.txt file discussed
+# in the "CMake in user projects" page accessible from the "User info"
+# page of the documentation.
+SET(TARGET_SRC
+  ${TARGET}.cc
+  )
+
+# Usually, you will not need to modify anything beyond this point...
+
+CMAKE_MINIMUM_REQUIRED(VERSION 2.8.8)
+
+FIND_PACKAGE(deal.II 9.1.0 QUIET
+  HINTS ${deal.II_DIR} ${DEAL_II_DIR} ../ ../../ $ENV{DEAL_II_DIR}
+  )
+IF(NOT ${deal.II_FOUND})
+  MESSAGE(FATAL_ERROR "\n"
+    "*** Could not locate a (sufficiently recent) version of deal.II. ***\n\n"
+    "You may want to either pass a flag -DDEAL_II_DIR=/path/to/deal.II to cmake\n"
+    "or set an environment variable \"DEAL_II_DIR\" that contains this path."
+    )
+ENDIF()
+
+DEAL_II_INITIALIZE_CACHED_VARIABLES()
+PROJECT(${TARGET})
+DEAL_II_INVOKE_AUTOPILOT()
+
+#
+# Are all dependencies fulfilled?
+#
+IF(NOT DEAL_II_WITH_MPI OR NOT DEAL_II_WITH_P4EST OR NOT DEAL_II_WITH_TRILINOS)
+  MESSAGE(FATAL_ERROR "
+Error! The deal.II library found at ${DEAL_II_PATH} was not configured with
+    DEAL_II_WITH_MPI = ON
+    DEAL_II_WITH_P4EST = ON
+    DEAL_II_WITH_TRILINOS = ON
+One or all of these are OFF in your installation but are required for this tutorial step."
+    )
+ENDIF()
+
+ADD_CUSTOM_TARGET(clean_output
+  COMMAND ${CMAKE_COMMAND} -E remove *.vtu *.pvtu *.pvd *.vtk
+  COMMENT "clean_output invoked"
+)
+
+ADD_CUSTOM_TARGET(run_mpi_2
+  COMMAND mpirun -np 2 ${TARGET}
+  COMMENT "run_mpi_2 invoked"
+)
+
+ADD_CUSTOM_TARGET(run_mpi_4
+  COMMAND mpirun -np 4 ${TARGET}
+  COMMENT "run_mpi_4 invoked"
+)
+
+ADD_CUSTOM_TARGET(run_mpi_8
+  COMMAND mpirun -np 8 ${TARGET}
+  COMMENT "run_mpi_8 invoked"
+)

Thermo_electro_elasticity/README.md

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+## Overview
+Thermo-electro-elastic pump: implementation of a problem with thermo-electro-mechanical coupling.
+
+The electro-mechanical and thermal problems are solved in a staggered manner.
+Two implementations of the electro-mechanical problem are implemented:
+- the standard two-field formulation using the electric scalar potential and a
+  displacement field (valid for compressible materials), and
+- a four-field formulation, extending the above with an additional dilatation
+  and pressure field (valid for both compressible and near-incompressible 
+  materials).
+
+Concepts related to this implementation are presented in:
+
+@Article{Mehnert2017a,
+  author    = {M. Mehnert and J.-P. Pelteret and P. Steinmann},
+  title     = {Numerical modelling of nonlinear thermo-electro-elasticity},
+  journal   = {Mathematics and Mechanics of Solids},
+  year      = {2017},
+  volume    = {22},
+  number    = {11},
+  pages     = {2196--2213},
+  month     = nov,
+  doi       = {10.1177/1081286517729867},
+  publisher = {{SAGE} Publications},
+}
+
+@Article{Pelteret2016a,
+  author    = {Pelteret, J.-P. V. and Davydov, D. and McBride, A. and Vu, D. K. and Steinmann, P.},
+  title     = {Computational electro-elasticity and magneto-elasticity for quasi-incompressible media immersed in free space},
+  journal   = {International Journal for Numerical Methods in Engineering},
+  year      = {2016},
+  volume    = {108},
+  number    = {11},
+  pages     = {1307--1342},
+  month     = dec,
+  doi       = {10.1002/nme.5254},
+}
+
+### Related papers
+
+@Article{Hamkar2012a,
+  author  = {Hamkar, A-W and Hartmann, Stefan},
+  title   = {Theoretical and numerical aspects in weak-compressible finite strain thermo-elasticity},
+  journal = {Journal of Theoretical and Applied Mechanics},
+  year    = {2012},
+  volume  = {50},
+  pages   = {3--22},
+  file    = {:Articles/Hamkar2012a.pdf:PDF},
+}
+
+@article{mehnert2018numerical,
+  title={Numerical modeling of thermo-electro-viscoelasticity with field-dependent material parameters},
+  author={Mehnert, Markus and Hossain, Mokarram and Steinmann, Paul},
+  journal={International Journal of Non-Linear Mechanics},
+  volume={106},
+  pages={13--24},
+  year={2018},
+  publisher={Elsevier}
+}
+
+@article{mehnert2019experimental,
+  title={Experimental and numerical investigations of the electro-viscoelastic behavior of VHB 4905TM},
+  author={Mehnert, Markus and Hossain, Mokarram and Steinmann, Paul},
+  journal={European Journal of Mechanics-A/Solids},
+  pages={103797},
+  year={2019},
+  publisher={Elsevier}
+}

Thermo_electro_elasticity/doc/author

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+Markus Mehnert <[email protected]>
+Jean-Paul Pelteret <[email protected]>

Thermo_electro_elasticity/doc/builds-on

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+step-44 code_gallery_Quasi_static_Finite_strain_Quasi_incompressible_ViscoElasticity

Thermo_electro_elasticity/doc/dependencies

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+DEAL_II_WITH_MPI
+DEAL_II_WITH_TRILINOS
+DEAL_II_TRILINOS_WITH_SACADO

Thermo_electro_elasticity/doc/entry-name

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+Nonlinear thermo-electroelasticity

Thermo_electro_elasticity/doc/tooltip

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+A parallelised nonlinear thermo-electroelastic formulation modelling an electro-active pump, using automatic differentiation and MPI from the Trilinos package.