Finite-strain, finite-size mechanics of rigidly cross-linked biopolymer networks

Finite-strain, finite-size mechanics of rigidly cross-linked biopolymer networks

Finite element method for finite-size scaling in quantum mechanics.

We combined the finite-size scaling method with the finite element method to provide a systematic procedure for obtaining quantum critical parameters for a quantum system. We present results for the Yukawa potential solved with the finite element approach. The finite-size scaling approach was then used to find the critical parameters of the system. The critical values lambda c, alpha, and nu we...

Nonlinear Mechanics of Biopolymer Networks

The progress of modern biology demands an interdisciplinary approach to research, bridging the gap between previously disparate fields. This thesis presents a study of the elasticity and microstructure of neurofilaments, which are the primary constituents of neurons, providing the essential mechanical support to resist external stresses. To probe the underlying mechanical properties of neurofil...

Micromechanical simulations of biopolymer networks with finite elements

The mechanics of biological tissue is largely determined by the mechanics of biopolymer networks such as the extracellular matrix on cellular scale or the cytoskeleton on subcellular scale. Micromechanical simulations of biopolymer networks have thus attracted increasing interest in the last years. Here we introduce a simulation framework for biopolymer networks based on a finite element model ...

Finite Element Modeling of Strain Rate and Grain Size Dependency in Nanocrystalline Materials

Nanocrystalline materials show a higher strain-rate sensitivity in contrast to the conventional coarse-grained materials and a different grain size dependency. To explain these phenomenon, a finite element model is constructed that considers both grain interior and grain boundary deformation of nanocrystalline materials. The model consist of several crystalline cores with different orientations...