A comparative review of peridynamics and phase-field models for engineering fracture mechanics
Computational modeling of the initiation and propagation of complex fracture is central to the
discipline of engineering fracture mechanics. This review focuses on two promising …
discipline of engineering fracture mechanics. This review focuses on two promising …
[BOOK][B] Multiphysics phase-field fracture: modeling, adaptive discretizations, and solvers
T Wick - 2020 - books.google.com
This monograph is centered on mathematical modeling, innovative numerical algorithms
and adaptive concepts to deal with fracture phenomena in multiphysics. State-of-the-art …
and adaptive concepts to deal with fracture phenomena in multiphysics. State-of-the-art …
Local approximate Gaussian process regression for data-driven constitutive models: development and comparison with neural networks
Hierarchical computational methods for multiscale mechanics such as the FE 2 and FE-FFT
methods are generally accompanied by high computational costs. Data-driven approaches …
methods are generally accompanied by high computational costs. Data-driven approaches …
[HTML][HTML] A robust radial point interpolation method empowered with neural network solvers (RPIM-NNS) for nonlinear solid mechanics
In this work, we proposed a robust radial point interpolation method empowered with neural
network solvers (RPIM-NNS) for solving highly nonlinear solid mechanics problems. It is …
network solvers (RPIM-NNS) for solving highly nonlinear solid mechanics problems. It is …
Model-data-driven constitutive responses: Application to a multiscale computational framework
Computational multiscale methods for analyzing and deriving constitutive responses have
been used as a tool in engineering problems because of their ability to combine information …
been used as a tool in engineering problems because of their ability to combine information …
Learning hyperelastic anisotropy from data via a tensor basis neural network
Anisotropy in the mechanical response of materials with microstructure is common and yet is
difficult to assess and model. To construct accurate response models given only stress …
difficult to assess and model. To construct accurate response models given only stress …
Multilevel global–local techniques for adaptive ductile phase-field fracture
This paper outlines a rigorous variational-based multilevel Global–Local formulation for
ductile fracture. Here, a phase-field formulation is used to resolve failure mechanisms by …
ductile fracture. Here, a phase-field formulation is used to resolve failure mechanisms by …
Non-negative moment fitting quadrature for cut finite elements and cells undergoing large deformations
Fictitious domain methods, such as the finite cell method, simplify the discretization of a
domain significantly. This is because the mesh does not need to conform to the domain of …
domain significantly. This is because the mesh does not need to conform to the domain of …
A novel phase‐field approach to brittle damage mechanics of gradient metamaterials combining action formalism and history variable
Metamaterials response is generally modeled by generalized continuum based theories.
Their inherent substructure leads to a necessity for higher‐order theories, and especially in …
Their inherent substructure leads to a necessity for higher‐order theories, and especially in …
Vanquishing volumetric locking in quadratic NURBS-based discretizations of nearly-incompressible linear elasticity: CAS elements
Quadratic NURBS-based discretizations of the Galerkin method suffer from volumetric
locking when applied to nearly-incompressible linear elasticity. Volumetric locking causes …
locking when applied to nearly-incompressible linear elasticity. Volumetric locking causes …