Add to ORKGAbstract. A multiscale model and numerical method for computing mi-crostructures with large and inhomogeneous deformation is established, in which the microscopic and macroscopic information is recovered by coupling the finite order rank-one convex envelope and the finite element method. The method is capable of computing microstructures which are locally finite order laminates. Numerical experiments on a double well problem show that plenty of stress free large deformations can be achieved by microstructures consisting of piecewise simple twin laminates. 1
We present a practical algorithm for partially relaxing multiwell energy densities such as pertain t...
Abstract. The minimization of nonconvex functionals naturally arises in material sciences where defo...
This work focuses on the numerical modeling of fracture and its propagation in heterogeneous materia...
A multiscale model and numerical method for computing microstructures with large and inhomogeneous d...
Abstract. The mesh transformation method is applied in a finite element approximation to a multi-wel...
The paper deals with numerical computation of a crack problem posed on microstructural heterogeneous...
Finite order rank-one convex envelopes are introduced and it is shown that the i-th order laminated ...
We present a multiscale model for composite materials based on the theory of multifield continua. Su...
This work presents a general formulation of small and large strain multiscale solid constitutive mod...
This paper addresses a first-order and a second-order framework for the multiscale modelling of hete...
The importance of a multiscale modeling to describe the behavior of materials with microstructure is...
Abstract. This paper is concerned with the effective modeling of deformation microstructures within ...
An accurate homogenization method that accounts for large deformations and viscoelastic material beh...
This paper presents the detailed implementation and computational aspects of a novel second-order co...
This paper describes the development of a hierarchical multiscale procedure within the finite volume...
We present a practical algorithm for partially relaxing multiwell energy densities such as pertain t...
Abstract. The minimization of nonconvex functionals naturally arises in material sciences where defo...
This work focuses on the numerical modeling of fracture and its propagation in heterogeneous materia...
A multiscale model and numerical method for computing microstructures with large and inhomogeneous d...
Abstract. The mesh transformation method is applied in a finite element approximation to a multi-wel...
The paper deals with numerical computation of a crack problem posed on microstructural heterogeneous...
Finite order rank-one convex envelopes are introduced and it is shown that the i-th order laminated ...
We present a multiscale model for composite materials based on the theory of multifield continua. Su...
This work presents a general formulation of small and large strain multiscale solid constitutive mod...
This paper addresses a first-order and a second-order framework for the multiscale modelling of hete...
The importance of a multiscale modeling to describe the behavior of materials with microstructure is...
Abstract. This paper is concerned with the effective modeling of deformation microstructures within ...
An accurate homogenization method that accounts for large deformations and viscoelastic material beh...
This paper presents the detailed implementation and computational aspects of a novel second-order co...
This paper describes the development of a hierarchical multiscale procedure within the finite volume...
We present a practical algorithm for partially relaxing multiwell energy densities such as pertain t...
Abstract. The minimization of nonconvex functionals naturally arises in material sciences where defo...
This work focuses on the numerical modeling of fracture and its propagation in heterogeneous materia...