Despite the numerous applications of pressurized graphene membranes in new technologies, there is still a lack accurate mechanical models. In this work we develop continuum model for circular subjected to uniform lateral pressure. We adopt semi-inverse method by defining simplified kinematics deformation and describe material behavior with stored energy function that takes into account both non...

In the presented paper, the governing equations of a vibratory beam with moderately large deflection are derived using the first order shear deformation theory. The beam is homogenous, isotropic and it is subjected to the dynamic transverse and axial loads. The kinematic of the problem is according to the Von-Karman strain-displacement relations and the Hook's law is used as the constitutive eq...

Virtual haptic interaction with simulated deformable bodies requires contact forces to be computed with reasonable approximations in real time. This paper makes use of St. Venant’s principle on concentrated loads, and Castigliano’s theory on deflection to show that when an elastic body is globally deformed, the point-force representation of a tool contact is a good approximation. However, when ...

Abstract Vibration analysis of functionally graded (FG) microbeams carrying a moving mass is carried out in the framework Timoshenko beam theory. The material properties are considered to be thickness by power-law function, and they estimated Mori-Tanaka scheme. influence microsize effect captured with aid modified couple stress theory (MCST). A finite element formulated used establish discreti...

Deflection behavior of several encapsulant materials under uniform pressure was studied to determine the best encapsulant for MEMS device. Encapsulation is needed to protect movable parts of MEMS devices during high pressure transfer molded packaging process. The selected encapsulant material has to have surface deflection of less than 5 μm under 100 atm vertical loading. Deflection was simulat...

Deflection behavior of several encapsulant materials under uniform pressure was studied to determine the best encapsulant for MEMS device. Encapsulation is needed to protect movable parts of MEMS devices during high pressure transfer molded packaging process. The selected encapsulant material has to have surface deflection of less than 5 μm under 100 atm vertical loading. Deflection was simulat...

We give analytic expressions for image properties of objects seen around point mass lenses embedded in a flat CDM universe. An embedded lens in an otherwise homogeneous universe offers a more realistic representation of the lense’s gravity field and its associated deflection properties than does the conventional linear superposition theory. Embedding reduces the range of the gravitational force...