...Zhaoyang Hu; Rui Li The classical elasticity is inadequate for the dynamic analysis of microplates due to the size effect. This study incorporates a higher-order strain gradient theory into the Hamiltonian system-based symplectic framework and derives new analytical solutions for the free vibration...

... that the borehole wall should be considered as a non-ideal semi-permeable medium. When the wellbore is exposed to the drilling fluid, the dynamic modification of pore pressure on the borehole surface is required to account for fluid entering the formation. In this paper, we present an analytical solution for a semi...

... angle, defining the zig-zag warping of the cross section. Geometric and natural boundary conditions, as well as the matching condition at the intermediate roller constraint, necessary to solve the governing differential problem, are found variationally. The analytical solutions under concentrated...

...Mohit Dhuria; Neeraj Grover; Kavita Goyal In this study, a new higher order hyperbolic shear deformation theory for mechanical analysis of cross-ply and angle-ply multilayered plates is developed. Analytical solution to the static and buckling responses of symmetric and anti-symmetric composite...

... determined. A finite element implementation is proposed for the most general cases. The convergence analysis for the numerical approach and the comparison with the analytical solution in benchmark problems demonstrate the efficiency of the proposed method. laminated glass multilaminate composite beam...

... by the Applied Mechanics Division of ASME for publication in the J ournal of A pplied M echanics . 20 11 2021 03 01 2022 03 01 2022 12 01 2022 serpentine structure mechanics-guided 3D assembly postbuckling analytical solution The serpentine structure, due to its ultra...

... 31 03 2021 diffusion-induced stress cylinder analytical solution plane strain chemo-mechanical coupling When the diffusion equation with mechanical effect term incorporated and the motion equations contain the effect of concentration, this kind of problem is called coupled...

...Chao Liu Analytical solutions to the classical Mandel’s problem play an important role in understanding Biot’s theory of poroelasticity and validating geomechanics numerical algorithms. In this paper, existing quasi-static poroelastic solutions to this problem are extended to the dual-porosity dual...

... upon illumination. Nonetheless, what is the influence of the finite thickness remains unexplored. In the present work, we reexamine this problem by treating the disc as an elastic plate with finite thickness. Analytical solution to the photo-actuated shape is obtained in small deformations...

... hemispherical imaging system, operation of the tunable electronic eye camera system requires coordinated tuning of geometries of both the lens and detector due to the intrinsic optics, while our analytical solutions can provide a very convenient tool for this purpose. During the image processing stage...

...Peichao Li; Detang Lu An analytical solution is derived for the time-dependent flow and deformation coupling of a saturated isotropic homogeneous incompressible poroelastic media within a two-dimensional (2D) finite domain due to a point source at some arbitrary position. In this study, the pore...

... Hertzian contact mechanics can be used to model such contacts, but since there is no closed-form analytical solution to predict the major and minor axes of the contact zone ellipse, approximate numerical methods have been developed, some of which are very accurate. Predictions of the mutual approach...

... on the tangential displacement of a surface point. The analytical solutions are first presented. All analytical expressions are then validated by comparison with the finite element method. It is found that the influence coefficients for tangential displacements are of the same order of magnitude as the ones...

... solutions from single-to dual-porosity and dual-permeability poromechanics. The solutions are presented in explicit analytical forms and account for arbitrary time-dependent external loading conditions, e.g., cyclic and ramping. The derived analytical solutions and results exhibit general behaviors...

... CZM bonded joint crack initiation local damage FRP analytical solution Fracture studies are usually carried out under several idealized conditions, as in the case of linear elastic fracture mechanics or the case of small scale yielding. In such cases, the details of the stress-strain...

... elasticity Green's function methods plates (structures) stress effects infinite plate infinite plane stress distribution circular holes elasticity analytical solution The distribution of stress in an infinitely large plate perforated by circular holes has been studied...