Journal of Applied Mechanics Newest Issue
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en-usTue, 20 Mar 2018 00:00:00 GMTTue, 20 Mar 2018 09:43:38 GMTSilverchaireditor@appliedmechanics.asmedigitalcollection.asme.orgwebmaster@appliedmechanics.asmedigitalcollection.asme.orgA Semi-Infinite Strip Pressed Against an Elastic Half-Plane With Frictional Slip
http://appliedmechanics.asmedigitalcollection.asme.org/article.aspx?articleid=2674318
Tue, 20 Mar 2018 00:00:00 GMTAdams GG. <span class="paragraphSection">The subject of this investigation is the plane strain elasticity problem of a finite width semi-infinite strip with its end pressed against a half-plane of the same material with friction. From the existing integral equation solution for a perfect bond, it is shown that the length of the zone of frictional slip and the value of the slip displacement can both be inferred. It is further shown how this method allows a finite element stress analysis of a structure, obtained with the simple assumption of a perfect bond, to be used instead of the more complicated finite element structural analysis with frictional slip. Nonetheless, the results of this simpler finite element analysis can be used to infer the length of the frictional slip zone and the magnitude of the slip displacement. It is expected that this method will be valuable in the analysis of the mechanics of fretting. Damage due to fretting fatigue is initiated due to frictional slip near the edges of the interface between two connected materials. The stress analysis of structures, which includes these frictional slip zones, is considerably more complicated than it is for a perfect bond, often making it impractical to include in a comprehensive finite element model of the complete structure. Thus, the methodology used in this paper should allow the size of the frictional slip zones and the frictional slip displacements to be inferred directly from the stress analysis for a perfect bond.</span>http://appliedmechanics.asmedigitalcollection.asme.org/article.aspx?articleid=2674318Buckling of Multilayer Graphene Sheets Subjected to Axial Compression Based on a Continuum Mechanics Model
http://appliedmechanics.asmedigitalcollection.asme.org/article.aspx?articleid=2674319
Tue, 20 Mar 2018 00:00:00 GMTKim M, Im S. <span class="paragraphSection">Buckling of multilayer graphene sheets (MLGSs) subjected to an axial compressive load in plane-strain condition is studied. Closed-form solutions for buckling load of MLGSs are obtained based on a continuum model for MLGSs. Two different kinematic assumptions, which lead to MLGS beam, which was recently proposed by the authors, and the Euler beam, are used to obtain the buckling loads. The obtained solutions yield significantly different buckling loads when the axial length is small. To validate obtained results, molecular dynamics (MD) simulations are conducted, and they show that the MLGS beam model well captures the buckling load of MLGSs. The buckling solution of MLGS beam model provides two interesting facts. First, the buckling load of MLGSs coincides with the Euler buckling load when the length is large. Second, when the number of layers is large, the buckling strain converges to a finite value, and could be expressed as a linear combination of the buckling strain of single-layer graphene and the ratio between the shear rigidity of interlayer and the tensile rigidity of graphene layer. We validate the asymptotic behavior of buckling strain through MD simulations and show that buckling occurs even when the overall thickness is larger than the axial length. Finally, we present a diagram that contains buckling strain of MLGSs according to the boundary conditions, the number of layers, and the axial length.</span>http://appliedmechanics.asmedigitalcollection.asme.org/article.aspx?articleid=2674319