Damage preserving transformation for materials with microstructure

Analysis of Composite Materials with Random Microstructure

ix Czech Technical University in PragueKlokner InstituteAbstract Analysis of Composite Materials with Random Microstructureby Jan Zeman In this thesis, a comprehensive approach to the modelling of composite materials witha microstructure exhibiting various types of disorder is proposed. In particular, a fibrousgraphite-epoxy composites with fibers randomly distributed wi...

Entropy-Preserving Transformation Method

Connectivity Preserving Voxel Transformation

A three dimensional digital binary image is B26 connected if its set of black voxels is 26-connected, i.e. for all black voxels there exists at least one black voxel among its 26 neighbors. We show that any two such images I and J of c1 and c2 number of connected components respectively and n voxels each, can be transformed into one another maintaining the B26 connectivity of the black voxels b...

Modeling of Hygrothermal Damage of Composite Materials

Composite materials have been used extensively in various applications, such as mechanical engineering, aerospace engineering, and aviation thanks to their interesting mechanical properties. However, a substantial drawback in the use of such composite materials is that they absorb a significant amount of moisture when exposed to severe hygrothermal conditions. This factor dramatically affects t...

Computational design of deformation processes for materials with ductile damage

A continuum sensitivity method is developed for thermoplasticity combined with ductile damage at finite strains. The computed sensitivity fields are used within a gradient-based optimization framework for the computational design of metal forming processes for porous materials. The accuracy and effectiveness of the developed updated Lagrangian finite element analysis and design techniques are d...