We develop a theory of sheaves and cohomology on the category proper modulus pairs. This complements [KMSY21], where non-proper pairs has been developed.

Up-to-date predictive rubber friction models require viscoelastic modulus information; thus, the accurate representation of storage and loss components is fundamental. This study presents two separate empirical formulations for complex moduli materials such as rubber. The majority found in literature are based on tabulated dynamic testing data. A wide range experimentally obtained used this stu...

We consider the problem of determining the distribution of the complex-valued shear modulus for an incompressible linear viscoelastic material undergoing infinitesimal time-harmonic deformation, given the knowledge of the displacement field in its interior. In particular, we focus on the two-dimensional problems of anti-plane shear and plane stress. These problems are motivated by applications ...

Correspondence: Ivana Pajic-Lijakovic Faculty of Technology and Metallurgy, University of Belgrade, 11000 Belgrade, Serbia Email [email protected] We read an interesting article by Torres-Costa et al recently published in the International Journal of Nanomedicine. The influence of the rheological behavior of extracellular matrix (ECM) to cell adhesion and migration represents an important issue ...

OBJECTIVES The purpose of this study was to investigate the viscoelastic properties related to the handling characteristics of composites. METHODS A custom-designed vertical oscillation rheometer (VOR) was used for the rheological measurements of composites. The VOR consists of three parts: (1) a measuring unit, (2) a deformation induction unit, and (3) a force-detecting unit. Two medium-visc...

The essential fact behind the so-called field-descent method is that certain cyclotomic integers necessarily are contained in relatively small fields and thus must have relatively small complex modulus. In this paper, we develop a method which reveals a complementary phenomenon: certain cyclotomic integers cannot be contained in relatively small fields and thus must have relatively large comple...

A micromechanical finite element (FE) framework was developed to predict the viscoelastic properties (complex modulus and creep stiffness) of the asphalt mixtures. The two-dimensional (2D) microstructure of an asphalt mixture was obtained from the scanned image. In the mixture microstructure, irregular aggregates and sand mastic were divided into different subdomains. The FE mesh was generated ...

This work aims to improve the rutting and fatigue cracking resistance of asphalt binders using selected nanoor micro-sized materials and to shed light on the microstructure changes induced by such modification to asphalt binders. The four modifiers (Nanomer I.44P, carbon microfiber, non-modified nanoclay and polymer modified nanoclay) were added into the control asphalt binder (PG 58-34). The S...

Mammalian appendages such as hair, quill and wool have a unique structure composed of a cuticle, a cortex and a medulla. The cortex, responsible for the mechanical properties of the fibers, is an assemblage of spindle-shaped keratinized cells bound together by a lipid/protein sandwich called the cell membrane complex. Each cell is itself an assembly of macrofibrils around 300 nm in diameter tha...

periodontal ligament is a thin layer of soft tissue that connects root of a tooth to the surrounding alveolar bone. these ligaments play an important role in initiating tooth movement when loads are applied to teeth with orthodontic appliances. the majority of such soft tissues exhibit as viscoelastic bodies or have a time-dependent behavior. due to the viscoelastic behavior of the periodontal ...