Invariants and elasticity tensors play a pivotal role in the mathematical and physical description of material behaviour. By characterising properties that remain unchanged under coordinate ...

Tensor analysis has emerged as a fundamental mathematical framework in elucidating complex interactions within quantum physics and elasticity. In quantum physics, tensors facilitate the ...

Young's modulus is a crucial mechanical property in engineering, as it defines the stiffness of a material and tells us how much it will deform for an applied stress. In this video I take a detailed ...

We redevelop a theoretical model that, in conjunction with atomic force microscopy (AFM), can be used as a noninvasive method for determination of the elastic modulus of a polymer nanodroplet residing ...

Elastic modulus of the furniture coatings is an important parameter, which indicates the curing state of the composite resin curable by the ultraviolet radiation. Non-contact way of elastic modulus ...

We measured the elastic modulus of individual multiwalled carbon nanotubes (MWCNTs) grown by catalytic chemical vapor deposition (CVD) over a broad diameter range (10−25 nm). Alternating current (ac) ...

The elastic stiffness or compliance is a fourth-order tensor that can be expressed in terms of two second-order symmetric tensors A and B and a fourth-order completely symmetric and traceless tensor Z ...

This book examines the issues across the breadth of elasticity theory. Firstly, the underpinning mathematics of vectors and matrices is covered. Thereafter, the equivalence between the inidicial, ...

In recent years, there has been a growing interest in the search for metallic alloys with favorable mechanical and chemical characteristics that elicit a positive biological response. Among these ...

This book provides the general reader with an introduction to mathematical elasticity, by means of general concepts in classic mechanics, and models for elastic springs, strings, rods, beams and ...

Figure 5 Influence of the elastic modulus E 1 on the equilibrium path (prescribed position). In the second case, a variation in the viscous modulus η was considered, while the elastic moduli, E1 and ...