A scalar potential model based on intermolecular force is proposed which can be used to understand the influence of factors, such as hydrostatic pressure, environmental temperature and strain rate, on the elastic modulus and elastic behavior of polymers. We propose an experimental equation for the ...
The equivalent expression for a uniform solid rod under static tension is σ = E(∂ξ/∂x), where σ is the normal stress and E is the elastic modulus (Fig. 3.3). However, there is a vital difference. The walls of the tube prevent lateral displacement of the fluid, whereas the ...
Substituting this value of {eq}A {/eq} into the equation for shear modulus, we get: $$G=\frac{F_s}{\pi\frac{d^2}{4}}\\ G=\frac{4F_s}{\pi d^2} $$ Shear Modulus Equation Using Elastic Modulus The equation relating the shear modulus {eq}G {/eq}, Young's modulus {eq}E...
For greater sustainability in construction, coarse recycled aggregate concrete (RAC) is becoming popular as a replacement for natural aggregate concrete (NAC) in structures. The elastic modulus of concrete (E) is a fundamental parameter in structure desi
With self-consistent method, the formulation of concrete elastic modulus was obtained, which reflects the general elastic performance of materials. 用自洽方法得到了混凝土弹性模量的均质化计算公式 ,该方法可以同时满足平衡条件和连续性条件 。 更多例句>> 5...
(sometimes referred to as Modulus of Elasticity, meaning "measure" of elasticity) is an extremely important characteristic of a material. It is the numerical evaluation of Hooke's Law, namely the ratio of stress to strain (the measure of resistance to elastic deformation). To calculate Young's...
Then the instantaneous displacement corresponds to the dynamical equation of elastic waves for q0τM>1: q02-ωλq2≅q02-cλ2q2=0. Then we have (7.6.36)Mρ∂2∂t2-G∞λ∂2∂xλ2uλ=0, (7.6.37)G∞λ=Mρcλ2. where for λ = transverse, λ=xory,G∞t is a high ...
Learn what Young's modulus means in science and engineering, find out how to calculate it, and see example values.
(constitutivelaw)wasdevelopedbyRobertHookeandisknownasHooke'slaw.Itdealswiththecaseoflinearelasticmaterials.Followingthisdiscovery,thistypeofequation,oftencalleda"stress-strainrelation"inthisexample,butalsocalleda"constitutiveassumption"oran"equationofstate"wascommonlyused.WalterNolladvancedtheuseofconstitutiveequations...
where ‘E’ is elastic modulus and ‘T’ is thickness of the substrate. For a typically lengthy and wide cantilever, ‘E’ is replaced by E1−ν where ‘ν’ is Poisson's ratio. Assuming a uniform curvature due to surface stress, the modified equation relating the curvature and concentrat...