Learning nonlocal constitutive models with neural networks

Mathematics

• Constitutive Model 100%
• Neural Networks 68%
• Learning 65%
• Reynolds Stress 23%
• Closure 23%
• Partial differential equation 21%
• Computational Mechanics 20%
• Strain Rate 19%
• Constitutive Relations 18%
• Formal Solutions 18%
• Turbulent Flow 17%
• Transport Equation 15%
• Model 14%
• Algebraic Equation 13%
• Convolution 11%
• Physics 11%
• Fluid 11%
• Exact Solution 11%
• Numerical Experiment 10%
• Alternatives 8%
• Range of data 8%
• Demonstrate 8%

Engineering & Materials Science

• Constitutive models 72%
• Neural networks 43%
• Partial differential equations 28%
• Computational mechanics 20%
• Turbulent flow 14%
• Convolution 14%
• Strain rate 13%
• Physics 12%
• Fluids 9%
• Experiments 5%

Physics & Astronomy

• learning 78%
• closures 20%
• partial differential equations 20%
• computational mechanics 16%
• Reynolds stress 11%
• convolution integrals 10%
• turbulent flow 9%
• strain rate 8%
• physics 6%
• fluids 6%