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Keywords: analytical solution
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Journal Articles
Article Type: Research Papers
J. Appl. Mech. April 2022, 89(4): 041008.
Paper No: JAM-21-1466
Published Online: January 12, 2022
... analytical solution The serpentine structure, due to its ultra-low rigidity and stretchable properties, is of growing interest for applications in stretchable electronics [ 1 – 19 ], mechanical sensing [ 20 – 22 ], and biomedical devices [ 21 , 23 – 26 ]. The excellent conformal capacity...
Journal Articles
Article Type: Research Papers
J. Appl. Mech. July 2021, 88(7): 071001.
Paper No: JAM-21-1053
Published Online: March 31, 2021
.... , 471 ( 2182 ), p. 20150366 . 10.1098/rspa.2015.0366 [16] Wang , X.-Q. , and Yang , Q.-S. , 2020 , “ An Analytical Solution for Chemo-mechanical Coupled Problem in Deformable Sphere With Mass Diffusion ,” Int. J. Appl. Mech. , 12 ( 7 ), p. 2050076 . 10.1142/S1758825120500763...
Journal Articles
Article Type: Research Papers
J. Appl. Mech. January 2021, 88(1): 011002.
Paper No: JAM-20-1416
Published Online: September 28, 2020
...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...
Journal Articles
Article Type: Research Papers
J. Appl. Mech. February 2020, 87(2): 021009.
Paper No: JAM-19-1557
Published Online: December 17, 2019
... 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...
Journal Articles
Article Type: Research-Article
J. Appl. Mech. November 2013, 80(6): 061022.
Paper No: JAM-12-1565
Published Online: August 21, 2013
... camera hyperelastic material finite strain pressure-deflection relation analytical solution Conventional digital cameras use arrays of photodetectors in planar layouts; this configuration requires systems of lenses capable of producing images with similar geometries, thereby placing stringent...
Journal Articles
Article Type: Research Papers
J. Appl. Mech. November 2011, 78(6): 061020.
Published Online: September 9, 2011
...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...
Journal Articles
Article Type: Technical Briefs
J. Appl. Mech. May 2011, 78(3): 034501.
Published Online: February 16, 2011
... 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...
Journal Articles
Article Type: Research Papers
J. Appl. Mech. March 2010, 77(2): 021014.
Published Online: December 14, 2009
... 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...
Journal Articles
Article Type: Research Papers
J. Appl. Mech. January 2010, 77(1): 011002.
Published Online: September 23, 2009
... 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...
Journal Articles
Article Type: Research Papers
J. Appl. Mech. September 2009, 76(5): 051003.
Published Online: June 16, 2009
... elastic deformation finite element analysis fracture mechanics 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...
Journal Articles
Article Type: Research Papers
J. Appl. Mech. May 2008, 75(3): 031016.
Published Online: May 2, 2008
... the appropriate function ϕ 0 and modifying the boundary equations 10 , 11 , 12 , 13 . The analytical solution for an infinite plate with two equal circular holes under general plane stresses has been derived by Ling ( 2 ) in 1948. Ling’s solution can be regarded...