The usual formula for the elastic modulus E of a crosslinked highly elastic network E = 3 ρRT/Mc involves molecular weight between crosslinks Mc. It has to be modified by several factors such as the fraction not involved in any external stress and the initial molecular weight distribution. ...
(Paul, 1960) makes simplifying geometrical assumption of the regular equidistant distribution of the identical carbide crystals with the cubic shape and no carbide-carbide contacts and arrives at the approximate "strength of materials" type of formula for the dependence of the Young's modulus of ...
Elastic modulus is defined as the ratio of stress to strain below the proportional limit. It is a measurement of a material’s rigidity or stiffness. The slope of the stress-strain curve in the range of linear proportionality of stress to strain in terms of the stress-strain curve is the ...
Noun1.elastic modulus- (physics) the ratio of the applied stress to the change in shape of an elastic body coefficient of elasticity,modulus of elasticity natural philosophy,physics- the science of matter and energy and their interactions; "his favorite subject was physics" ...
It is well known that the barotropic elastic modulus, E \sim p or E \sim \sqrt{ p}, with a constant Poisson number \nu violates the Second Law [13, 31]. In order to avoid this problem, several elastic potentials have been proposed in the literature, see Sect. 2.1. A tangential ...
Let Y represent the young’s modulus of the bar’s material. The depression produced at the middle point of a load ‘W’ is given by, when it is attached at its middle point. δ = WL3/4Ybd3 The machinery’s metallic parts are designed in such a way that if they are subjected to...
An advantage of the technique is that is measures velocity resonance, and hence the natural frequency from which flexural modulus is calculated. Values of specific loss are obtained by extending the method to measure the phase difference between the applied force and the deformation. In this paper...
(48). However, the formula for the elastic modulus was misprinted, and the formula for the brush force was used for the spherical, not conical indenter in that work. Here we will briefly overview the brush model for a spherical indenter, derive formulas for a conical indenter, and extend ...
whereσis the stress. As shown inFig. 3.36, the elastic strain becomes zero when the stress is removed. If the Young’s modulusEchanges with the temperatureT, the relation between the elastic strain increment Δɛeand thestress incrementΔσcan be written in the same form as in the case...
a, Hardness and modulus of pTA, pTA-NP and poly(TA-CCO) bulk. Error bars represent standard deviation, n ≥ 5. b, Snapshots captured from a video of in situ nanoindentation corresponding to the maximum depth and residual impression remaining after unloading the flat indenter. The silicone...