An appropriate strain energy density for an isotropic hyperelastic Hookean material is proposed for finite strain from which a constitutive relationship is derived and applied to problems involving beam theory approximations. The physical Lagrangian stress normal to the surfaces of a element in the ...
For example, Xu et al. [99] carried out experiments on a steel beam overlapped by a single bolt and proposed the phase shift of the focused signal as the damage index. Three methods (the wave energy dissipation, TR, and VTR methods) were compared. It was concluded that the VTR method ...
Fx= axial force in distance x (N) y =specific weight- unit volume weight (N/m3) A = cross-sectional area (m2) L = length of beam (m) x = distance (m) The specific weight can be expressed as y = ρ g (2) where ρ = density of beam (kg/m3) ...
The sensitivity study of modal strain energy (MSE) is of primary importance for its extensive applications in structural damage detection and health monitoring fields. In this paper, the first-order sensitivity formulae of the element MSE for a real symmetric undamped system are derived based on ...
For the Wannier interpolation, we used an interpolating electron-momentum mesh of 8 × 8 × 12 and a phonon-momentum mesh of 2 × 2 × 3. Results for bulk RuO2 were calculated using the crystal structure that minimizes the DFT-computed total energy with the PBEsol functional: (a = 4.4...
The influence of each participating beam is defined through properly normalized sensitivity factors. An iterative formula, similar to that used for trusses, is proposed for updating the second moment of inertia followed by an improvement of shape variables (e.g. height, width, thickness) on the ...
(14.3 J laser energy and 2.5 ns pulse duration), a hierarchical dimple structure was seen; the majority of dimples had diameters of several hundred nanometers and only a small percentage exceeded one micron. Using a focused ion beam (FIB), we cut into the spall surfaces to examine the ...
Internal strain refers to the strain energy within a material due to various effects such as membrane, rotational, bending, and shearing effects, as described in the linear elasticity framework. AI generated definition based on: Finite Elements in Analysis and Design, 2010 ...
In such cases, the change in elastic energy per unit area of crack growth, known as the strain energy release rate, can be calculated directly from the load-displacement data for the experiment. Strain energy release rate is related to the stress intensity factor. In fact, for pure brittle ...
Based on definition of strain energy function,increment formula of stationary potential energy of finite displacement theory were derived in terms of Kirchhoff stress tensor and Green strain tensor. 基于有限位移理论应变能密度函数的定义,利用Kirchhoff应力张量和Green应变张量,推出了非线性分析中增量形式的势能...