产品
ABAQUS user-element subroutine (UEL) to use the phase field method to predict corrosion, pitting corrosion, the pit-to-crack transition and stress corrosion cracking.
ABAQUS用户元素子例程（UEL）使用相场方法来预测腐蚀，点蚀，点到裂纹过渡和应力腐蚀开裂。
Paper: C. Cui, R. Ma, E. Martínez-Pañeda. A phase field formulation for dissolution-driven stress corrosion cracking. Journal of the Mechanics and Physics of Solids 147: 104254 (2021)
ABAQUS UMAT user subroutine for implementing phase field fracture without the need for user elements by taking advantage of the heat transfer equation.
ABAQUS UMAT用户子程序，通过利用传热方程式，无需用户元素即可实现相场破裂。
Paper: Y. Navidtehrani, C. Betegón, E. Martínez-Pañeda. A unified Abaqus implementation of the phase field fracture method using only a user material subroutine. Materials 14(8): 1913 (2021).
Paper: Y. Navidtehrani, C. Betegón, E. Martínez-Pañeda. A simple and robust Abaqus implementation of the phase field fracture method (submitted)
ABAQUS user material (mechanical UMAT and thermal UMATHT) subroutines for implementing hydrogen diffusion coupled with mechanical deformation, suitable for multiple traps.
ABAQUS用户材料（机械UMAT和热UMATHT）子例程用于实现氢扩散以及机械变形，适用于多个陷阱。
Paper: R. Fernández-Sousa, C. Betegón, E. Martínez-Pañeda. Analysis of the influence of microstructural traps on hydrogen assisted fatigue. Acta Materialia 199: 253-263 (2020)
ABAQUS user-element subroutine (UEL) for Gurtin (2004) distortion gradient plasticity formulation, incorporating the role of the plastic spin as well as dissipative and energetic higher order con-tributions.
用于Gurtin（2004）变形梯度可塑性公式的ABAQUS用户元素子例程（UEL），结合了塑性自旋的作用以及耗散和有力的高阶贡献。
Paper: S. Fuentes-Alonso, E. Martínez-Pañeda. Fracture in distortion gradient plasticity. International Journal of Engineering Science 156: 103369 (2020)
ABAQUS user-material subroutine (UMAT) with a plane strain/3D implementation of von Mises plasticity with isotropic power law hardening. Includes documentation.
ABAQUS用户材料子例程（UMAT），其 平面应变/ 3D实现为von Mises可塑性，具有各向同性幂律硬化。
Paper: E. Martínez-Pañeda, S. Fuentes-Alonso, C. Betegón. Gradient-enhanced statistical analysis of cleavage fracture. European Journal of Mechanics – A/Solids 77: 103785 (2019)
ABAQUS user-element subroutine (UEL) with phase field fatigue (and fracture). Includes an input file for using Quasi-Newton to run in a robust monolithic manner and a document with detailed instructions.
具有相场疲劳（和断裂）的ABAQUS用户元素子例程（UEL）。包括一个用于使用Quasi-Newton以强大的整体方式运行的输入文件，以及一个包含详细说明的文档。
Paper: P.K. Kristensen, E. Martínez-Pañeda. Phase field fracture modelling using quasi-Newton methods and a new adaptive step scheme. Theoretical and Applied Fracture Mechanics 107: 102446 (2020)
FEniCS Python script with a staggered implementation of the phase field fracture method, suitable for 2D and 3D case studies. Includes a document with detailed instructions.
FEniCS Python脚本具有交错执行的相场断裂方法，适用于2D和3D案例研究。包括带有详细说明的文档。
Paper: Hirshikesh, S. Natarajan, R. K. Annabattula, E. Martínez-Pañeda. Phase field modelling of crack propagation in functionally graded materials. Composites Part B: Engineering 169: 239-248 (2019)
ABAQUS user-element subroutine (UEL) for Gudmundson (2004) higher order strain gradient plasticity formulation, including both energetic and dissipative length scales.
ABAQUS用户元素子例程（UEL）用于Gudmundson（2004）高阶应变梯度可塑性公式，包括能量和耗散长度尺度。
Paper: E. Martínez-Pañeda, V.S. Deshpande, C.F. Niordson, N.A. Fleck. The role of plastic strain gradients in the crack growth resistance of metals.
ABAQUS user-element subroutine (UEL) for the coupled deformation – hydrogen transport – phase field fracture scheme presented in the associated paper.
Paper: E. Martínez-Pañeda, A. Golahmar, C.F. Niordson. A phase field formulation for hydrogen assisted cracking. Computer Methods in Applied Mechanics and Engineering, 342: 742-761 (2018)
ABAQUS user-element subroutine (UEL) with a robust phase field formulation for fracture. Several integration schemes are available, as detailed in the accompanying documentation.
ABAQUS用户元素子例程（UEL）具有可靠的断裂相场公式。有多种集成方案可用，如随附文档中所述。
Paper: E. Martínez-Pañeda, A. Golahmar, C.F. Niordson. A phase field formulation for hydrogen assisted cracking. Computer Methods in Applied
ABAQUS input files with a con-trol algorithm to overcome convergence problems in cohesive zone modelling of crack propagation. The code is largely inspired by the work by Segurado and Llorca (2004) on particle fracture in composites.
ABAQUS输入文件具有控制算法，可以克服裂纹扩展的内聚区建模中的收敛性问题。该代码很大程度上受Segurado和Llorca（2004）关于复合材料颗粒破裂的研究的启发。
Paper: E. Martínez-Pañeda, S. del Busto, C. Betegón. Non-local plasticity effects on notch fracture mechanics. Theoretical and Applied Fracture Mechanics, 92: 276-287 (2017)
Matlab script to predict the variation with the applied potential of the cracking threshold and the stage II crack growth rate. The model builds on Gerberich’s decohesion dislocation-based model, strain gradient plasticity and advanced electrochemistry. See details in the associated paper.
Matlab脚本预测开裂阈值和第二阶段裂纹扩展速率的应用潜力的变化。该模型建立在Gerberich基于脱粘位错的模型，应变梯度可塑性和先进的电化学的基础上。请参阅相关论文中的详细信息。
Paper: E. Martínez-Pañeda, C.F. Niordson, R.P. Gangloff. Strain gradient plasticity-based modeling of hydrogen environment assisted cracking. Acta Materialia, 105: 9-16 (2017)
A toolbox to connect Abaqus and Matlab, enabling the usage of the statistical analysis, image processing, integrated graph-plotting and mathematical optimization capabilities of Matlab to post-process the outcome of advanced finite element calculations. See www.abaqus2matlab.com
连接Abaqus和Matlab的工具箱，可以使用Matlab的统计分析，图像处理，集成的图形绘图和数学优化功能对高级有限元计算的结果进行后处理。参见www.abaqus2matlab.com（这个在油管上有对应的视频，我之后下载放在评论区）
Paper: G. Papazafeiropoulos, M. Muñiz-Calvente, E. Martínez-Pañeda. Abaqus2Matlab: a suitable tool for finite element post-processing. Advances in Engineering Software, 105: 9-16 (2017)
ABAQUS USDFLD Subroutine for the implementation of a continuous variation of the material elastic properties between integration points.
ABAQUS USDFLD子例程，用于在积分点之间连续改变材料的弹性。
Paper: E. Martínez-Pañeda. On the finite element implementation of functionally graded materials. Materials, 12(2): 287 (2019)
Non-linear eXtendend Finite Element code developed in MATLAB including the following material models: linear elasticity, von Mises plasticity and conventional mechanism-based strain gradient (CMSG) plasticity. Particularly appealing to capture the singularity in-trinsic to MSG plasticity.
在MATLAB中开发的非线性扩展有限元代码，包括以下材料模型：线性弹性，冯·米塞斯可塑性和常规的基于机理的应变梯度（CMSG）可塑性。特别吸引人来捕捉MSG可塑性的内在奇点。
Paper: E. Martínez-Pañeda, S. Natarajan, S. Bordas. Gradient plasticity crack tip characterization by means of the extended finite element method. Computational Mechanics, 59: 831-842 (2017)
Finite Element implementation of Gurtin (2004) Distortion Gradient Plasticity (DGP) theory by following and extending the Minimum Principles established by Fleck and Willis (2009). Code developed entirely in Fortran.
通过遵循和扩展Fleck和Willis（2009）建立的最小原理，实现Gurtin（2004）变形梯度可塑性（DGP）理论的有限元实现。代码完全在Fortran中开发。
Paper: E. Martínez-Pañeda, C.F. Niordson, L. Bardella. A finite element framework for distortion gradient plasticity with applications to bending of thin foils. International Journal of Solids and Structures, 96: 288-299 (2016)
ABAQUS user-element subroutine (UEL) with a cohesive zone formulation. Includes the dependence of the cohesive strength on the total hydrogen concen-tration and the effect of cyclic loading.
ABAQUS用户元素子例程（UEL），具有内聚区公式。包括内聚强度对总氢浓度的依赖性和循环载荷的影响。
Paper: S. del Busto, C. Betegón, E. Martínez-Pañeda. A cohesive zone framework for environmentally assisted fatigue. Engineering Fracture Mechanics, 185: 210-226 (2017)
ABAQUS User Material (UMAT) subroutine with the constitutive formulation of the conventional mechanism-based strain gradient (CMSG) plasticity theory.
ABAQUS用户材料（UMAT）子例程，具有常规基于机理的应变梯度（CMSG）可塑性理论的本构公式。
Paper: E. Martínez-Pañeda and C. Betegón. Modeling damage and fracture within strain-gradient plasticity. International Journal of Solids and Structures, 59: 208-215 (2015)
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