Physical features of microenvironments such as matrix elasticity E can clearly influence cell morphology and cell phenotype, but many differences between model matrices raise questions as to whether a standard biological scale for E exists, especially in 3D as well as in 2D. An E-series of two distinct types of hydrogels are ligand-functionalized here with non-fibrous collagen and used to eluci...

Pure bending experiments on prismatic bars of square cross-section composed of reticulated polymer foam exhibit deformation behavior not captured by classical elasticity theory. Perhaps the clearest example of this is the observed sigmoidal deformation of the bars’ lateral surfaces, which are predicted by classical elasticity theory to tilt but remain planar upon pure moment application. Such f...

Red Blood Cell (RBC) suspended in aquatic buffer is trapped and deformed by the dual-beam optical tweezers in order to measure the elasticity of the cell’s membrane. In this experiment, the RBCs were in the natural form of biconcave disc shape. We modeled a highly focused trapping beam of numerical aperture NA=1.25 as a spherical wave with Gaussian intensity distribution in a stationary study m...

fabrication, characterization and application of micro-/nano-rods/wires are among the hottest topics in materials science and applied physics. micro-/nano-rod-based structures and devices are developed for a wide-ranging use in various fields of micro-/nanoscience (e.g. biology, electronics, medicine, optics, optoelectronics, photonics and sensors). it is well known that the structure and prope...

Nonlinear plate bending within Mindlin's strain gradient elasticity theory (SGT) is investigated by employing somewhat non-standard finite element methods. The main goal to compare the results provided geometrically nonlinear three-dimensional (3D) and Reissner–Mindlin theory, i.e., first-order shear deformation (FSDT), SGT. For 3D Green–Lagrange relations are adopted, while von Kármán strains ...

The use of haptic interfaces in surgery could provide the surgeon useful sensing information about the patient tissues. Our goal in this work, is to use the haptic interface to obtain some sample points on the surface of an object or organ tissue in medical applications. This elasticity information feeds an artificial neural network. The output of the neural network is an approximation of the c...

A Landau theory is constructed for the gelation transition in cross-linked polymer systems possessing spontaneous nematic ordering, based on symmetry principles and the concept of an order parameter for the amorphous solid state. This theory is substantiated with help of a simple microscopic model of cross-linked dimers. Minimization of the Landau free energy in the presence of nematic order yi...

The implementation of a new 8-node finite element for solving 3D elasticity static problems is considered. idea this based on the projection rare mesh FEM scheme into space lower dimension. resulting hexahedral has number features compared to classical polyline element. This one integration point in eight element, as well presence four parameters that allow you adjust convergence computational ...