Hyperelastic energy densities for soft biological tissues: a review
Many soft tissues are naturally made of a matrix and fibres that present some privileged
directions. They are known to support large reversible deformations. The mechanical …
directions. They are known to support large reversible deformations. The mechanical …
Hyperelastic models for rubber-like materials: consistent tangent operators and suitability for Treloar's data
P Steinmann, M Hossain, G Possart - Archive of Applied Mechanics, 2012 - Springer
Rubber-like materials consist of chain-like macromolecules that are more or less closely
connected to each other via entanglements or cross-links. As an idealisation, this particular …
connected to each other via entanglements or cross-links. As an idealisation, this particular …
[HTML][HTML] A new family of Constitutive Artificial Neural Networks towards automated model discovery
For more than 100 years, chemical, physical, and material scientists have proposed
competing constitutive models to best characterize the behavior of natural and man-made …
competing constitutive models to best characterize the behavior of natural and man-made …
Polyconvex anisotropic hyperelasticity with neural networks
In the present work, two machine learning based constitutive models for finite deformations
are proposed. Using input convex neural networks, the models are hyperelastic, anisotropic …
are proposed. Using input convex neural networks, the models are hyperelastic, anisotropic …
Automated model discovery for human brain using constitutive artificial neural networks
The brain is our softest and most vulnerable organ, and understanding its physics is a
challenging but significant task. Throughout the past decade, numerous competing models …
challenging but significant task. Throughout the past decade, numerous competing models …
On automated model discovery and a universal material subroutine for hyperelastic materials
Constitutive modeling is the cornerstone of computational and structural mechanics. In a
finite element analysis, the constitutive model is encoded in the material subroutine, a …
finite element analysis, the constitutive model is encoded in the material subroutine, a …
[HTML][HTML] A comparative study of 85 hyperelastic constitutive models for both unfilled rubber and highly filled rubber nanocomposite material
Nonlinear finite element analysis is widely used for structural optimization of the design and
the reliability analysis of complex elastomeric components. However, high-precision …
the reliability analysis of complex elastomeric components. However, high-precision …
[图书][B] The finite element method for three-dimensional thermomechanical applications
G Dhondt - 2004 - books.google.com
Though many'finite element'books exist, this book provides a unique focus on developing
the method for three-dimensional, industrial problems. This is significant as many methods …
the method for three-dimensional, industrial problems. This is significant as many methods …
Automated model discovery for skin: Discovering the best model, data, and experiment
Choosing the best constitutive model and the right set of model parameters is at the heart of
continuum mechanics. For decades, the gold standard in constitutive modeling has been to …
continuum mechanics. For decades, the gold standard in constitutive modeling has been to …
[HTML][HTML] Neural network-based multiscale modeling of finite strain magneto-elasticity with relaxed convexity criteria
We present a framework for the multiscale modeling of finite strain magneto-elasticity based
on physics-augmented neural networks (NNs). By using a set of problem specific invariants …
on physics-augmented neural networks (NNs). By using a set of problem specific invariants …