Predicting gas flow rate in fractured shale reservoirs using discrete fracture model and GA-BP neural network method

A phase field model for rate-independent crack propagation: Robust algorithmic implementation based on operator splits

Christian Miehé, Martina Hofacker, Fabian Welschinger · Computer Methods in Applied Mechanics and Engineering · 2010 · 2.9K citations

Engineering, Computational Engineering, Materials Engineering +16

Thermodynamically consistent phase‐field models of fracture: Variational principles and multi‐field FE implementations

Christian Miehé, Fabian Welschinger, Martina Hofacker · International Journal for Numerical Methods in Engineering · 2010 · 2.8K citations

Engineering, Materials Engineering, Mechanical Engineering +17

An energy approach to the solution of partial differential equations in computational mechanics via machine learning: Concepts, implementation and applications

Esteban Samaniego, Cosmin Anitescu, Somdatta Goswami et al. · Computer Methods in Applied Mechanics and Engineering · 2020 · 1.9K citations · Full text

Engineering, Computational Engineering, Computer Science +17

Cracking particles: a simplified meshfree method for arbitrary evolving cracks

Timon Rabczuk, Ted Belytschko · International Journal for Numerical Methods in Engineering · 2004 · 1.7K citations

Engineering, Computational Engineering, Mechanical Engineering +17

Widths of Hydraulic Fractures

T.K. Perkins, L.R. Kern · Journal of Petroleum Technology · 1961 · 1.4K citations

Engineering, Earth Sciences, Geology +17