非局部模型的有限元和有限差分逼近的实现_C++_CM.zip

# NLMech [](https://circleci.com/gh/nonlocalmodels/NLMech) [](https://www.codacy.com/gh/nonlocalmodels/NLMech?utm_source=github.com&amp;utm_medium=referral&amp;utm_content=nonlocalmodels/NLMech&amp;utm_campaign=Badge_Grade) [](https://coveralls.io/github/nonlocalmodels/NLMech?branch=main) [](https://github.com/nonlocalmodels/NLMech/issues)  [](https://github.com/nonlocalmodels/nonlocalmodels.github.io/blob/main/LICENSE) [](https://joss.theoj.org/papers/271dd66ea91b7fbfdccb4b10a7ba462c) [](https://zenodo.org/badge/latestdoi/178625941) <p style="text-align:center;"><img src="https://github.com/nonlocalmodels/NLMech/blob/main/assets/logo/logo_sim.png?raw=true" alt="logo" width="400"/></p> ## Introduction Welcome to the NLMech repository. In this project, we implement Peridynamics model of fracture using meshfree and finite element discretizations. A brief overview of the equations is available [here](https://nonlocalmodels.github.io/documentation/md_content_equations.html). NLMech primarily served as a code for academic research (e.g., [1,2]), however, we plan to improve it further for a large-scale usage. The plan also includes development of fully distributed solver using HPX library for asynchronous computation to its maximum potential. In [3], we discuss the structure of NLMech and use HPX library for multi-threading computation. For further list of publications based on this library, we refer to the [publication list](https://nonlocalmodels.github.io/publications/). At present, the library consists of multiple material models such as - **RNP** - Regularized Nonlinear Potential. This is implemented in class [RNPBond](src/material/pd/rnpBond.h). - **State-based peridynamics** - State-based peridynamics model. This is implemented in class [ElasticState](src/material/pd/ElasticState.h). One of the main features of NLMech is the implementation of both explicit time discretization for dynamic problems (see [FDModel](src/model/fd/fDModel.h)) and implicit discretization for quasi-static problems (see [QuasiStaticModel](src/model/quasistatic/QuasiStaticModel.h)). ## Documentation and getting started All source and header files are fairly well documented. We used doxygen to automatically generate the documentation of methods, classes, etc. For complete documentation follow this [link](https://nonlocalmodels.github.io/documentation/). We provide shell scripts to help with the installation of dependencies and the NLMech itself. We also provide Docker images for a quick test of the library and to run the examples. In section `Installation`, we describe the dependencies, installation of dependencies, and building NLMech code. In section `Running NLMech`, we discuss how to run the examples. ## Installation ### Build tools The following build tools are needed to compile the NLMech and its dependencies: * GCC compiler collection (gcc) > 4.9, however, gcc >= 8 is recommended * [autoconf](https://www.gnu.org/software/autoconf/) * [wget](https://www.gnu.org/software/wget/) * [cmake](https://cmake.org/) * [git](https://git-scm.com/) On Ubuntu you might install all dependencies using the papackage manager: ```bash apt-get install build-essential git wget cmake libssl-dev libblas-dev liblapack-dev autoconf freeglut3-dev ``` On Fedora you might install all dependencies using the package manager ```bash dnf install @development-tools cmake git wget blas-devel lapack-devel freeglut-devel ``` ### Dependencies We use cmake to build the code. We list the dependencies and how they are used in the code below: * [CMake](https://cmake.org/) 3.16 - To generate makefiles * [Boost](https://www.boost.org/) 1.75 - Required to build HPX and YAML libraries * [HPX](https://github.com/STEllAR-GROUP/hpx) 1.6.0 - Provides methods for multithreading computation * [Blaze](https://bitbucket.org/blaze-lib/blaze/src/master/) 3.8 - Required to build the BlazeIterative library * [Blaze_Iterative](https://github.com/STEllAR-GROUP/BlazeIterative) master - Provides linear algebra support such as storage and inversion of stiffness matrix * [gmsh](https://gmsh.info/) 4.7 - Our code directly interfaces with gmsh to use input-ouput functions of gmsh * [VTK](https://www.vtk.org) 9.0 - For read-write operations on `.vtu` type files * [YAML-CPP](https://github.com/jbeder/yaml-cpp) 0.6 - To parse `.yaml` input files On Ubuntu you might install all dependencies using the papackage manager: ```bash apt-get install libyaml-cpp-dev libvtk7-dev gmsh boost-devel ``` Note that on Ubuntu you need to install HPX, Blaze, and Blaze_Iterative since there is no package available. On Fedora you might install all dependencies using the package manager ```bash dnf install hpx-devel cmake blaze-devel vtk-devel yaml-cpp-devel gmsh-devel ``` Note on Fedora, you need only to install Blaze_Itertaive. Following dependencies are optional, but are recommended for the large simulations: * [PCL](https://github.com/PointCloudLibrary/pcl) 1.11 - Used in neighbor search calculation (KDTree) * [Flann](https://github.com/flann-lib/flann) 1.9 - Required to build PCL library ### Building dependencies Building above dependencies is quite a challenge. To help with this, we provide the bash scripts for Ubuntu-20.04 and Fedor operating systems: [Bash scripts](https://github.com/nonlocalmodels/buildscripts/tree/main/bash)). Further, we provide various docker files * to build the code on Fedora using Fedora packages, see [Using Fedora Packages](https://github.com/nonlocalmodels/buildscripts/blob/main/Docker/Fedora) * to build all the dependencies and the code on Fedora, see [Build Dependencies and Code on Fedora](https://github.com/nonlocalmodels/buildscripts/blob/main/Docker/FedoraAll) * to build dependencies and the code on Ubuntu-20.04, see [Build Dependencies and Code on Ubuntu](https://github.com/nonlocalmodels/buildscripts/blob/main/Docker/FedoraAll). In [Scripts](https://github.com/nonlocalmodels/HPCBuildInfrastructure), bash scripts to build individual dependencies such as blaze, vtk, hpx, etc, on HPC systems is provided. A more detailed version of the build instruction is available [here](https://nonlocalmodels.github.io/documentation/md_content_install_instructions.html). > :exclamation: We recommend to use the same CMake version and same compiler version to build the HPX and NLMech. ### Compiling library Assuming all the dependencies are installed at standard paths such as `/usr/local`, we build NLMech as follows ```sh git clone https://github.com/nonlocalmodels/NLMech.git cd NLMech mkdir build && cd build # turn building documentation and tools, dependency on PCL off by using 'OFF' instead of 'ON' cmake -DCMAKE_BUILD_TYPE=Release \ -DEnable_Documentation=ON \ -DEnable_Tools=ON \ -DEnable_PCL=ON \ .. # compile the code make -j $(cat /proc/cpuinfo | grep processor | wc -l) VERBOSE=1 ``` In case certain libraries such as `HPX, PCL, Blaze_Iterative` are installed at custom paths, one would need to provide correct paths to `cmake` as follows: ```sh cmake -DCMAKE_BUILD_TYPE=Release \ -DEnable_Documentation=ON \ -DEnable_Tools=ON \ -DEnable_PCL=ON \ -DHPX_DIR=<hpx-path>/lib/cmake/HPX \ -