Bending short DNAs as transversely isotropic rings in series
0
Citation
56
Reference
10
Related Paper
Keywords:
Transverse isotropy
UDC 515.12 We classify translation surfaces in isotropic geometry with arbitrary constant isotropic Gaussian and mean curvatures underthe condition that at least one of translating curves lies in a plane.
Gaussian curvature
Constant (computer programming)
Constant-mean-curvature surface
Constant curvature
Cite
Citations (1)
We classify translation surfaces in isotropic geometry with arbitrary constant isotropic Gaussian and mean curvature under the condition that at least one of translating curves lies in a plane.
Gaussian curvature
Constant (computer programming)
Constant curvature
Constant-mean-curvature surface
Cite
Citations (0)
Transverse isotropy
Elasticity
Axis of symmetry
Cite
Citations (1)
Based upon general equations of a transversely isotropic foundation, stress functions and the theory of Fourier transforms, the solutions of plane Cerruti's problems in a transversely isotropic body are put forward. By integration, the solutions of stress caused by horizontal uniform, triangle or trapezoid distributed loads acting on the strip area of a transversely isotropic foundation are obtained. Upon a set of data about five elastic constants which are measured practically, graphs of additional stress solutions of a transversely isotropic foundation are compared with those of an isotropic foundation. Some valuable conclusions are got, which can be referred by engineers.
Transverse isotropy
Foundation (evidence)
Cite
Citations (0)
Transverse isotropy
Cite
Citations (4)
A transversely isotropic elastic material is one which physical properties are symmetric about an axis normal to a plane of isotropy. A large number of joints in advanced electronic devices are carried out with the application of these materials. In this paper, an expression of 3D transversely isotopic elastic material is derived. An algorithm of fundamental equation is developed to check the continuity at interface of bonded joint. The Green’s function is used for the fundamental solution of three-dimensional transversely isotropic elastic material. Boundary conditions are applied at the interface of the bonded joint and continuity is checked at interface. The effect of displacements , normal stress , and shear stress with varying distance is analyzed. Finally, united solutions are provided which are suitable for all stable transversely isotropic and isotropic materials.
Transverse isotropy
Cite
Citations (0)
The present work proposes an approach to adapt existing isotropic models to transversely isotropic materials. The main idea is to introduce equivalence relations between the real material and a fictitious isotropic one on which one can take all the advantages of the well-established isotropic theory. Two applications of this approach are presented here: a failure criterion and a damage model that takes into account the load-induced anisotropy. In both cases, theoretical predictions are in agreement with the experimental data. In the present paper, the developed approach is applied to sedimentary rock materials; nevertheless, it can be generalized to any material that exhibits transverse isotropy. Copyright © 2015 John Wiley & Sons, Ltd.
Transverse isotropy
Cite
Citations (6)
The objective of this paper is to present the closed-form solutions of the long-term displacements, temperature change and stress fields of a transversely isotropic medium subjected to a point heat source at great depth. The medium is first assumed to be transversely isotropic in mechanical and thermal properties. Under this assumption, the properties of the materials are different in plane of isotropy and in planes normal to it. Using Hankel and Fourier transforms, this paper presents the analytic solutions to this kind of problems, such as the repositories of nuclear wastes. The general solutions are then further reduced to cases when the material is isotropic in mechanical properties and finally totally isotropic in each property of the stratum.
Transverse isotropy
Point source
Cite
Citations (0)
ABSTRACT The computation of traveltimes in a transverse isotropic medium with a tilted symmetry axis tilted transversely isotropic is very important both for modelling and inversion. We develop a simple analytical procedure to map the traveltime function from a transverse isotropic medium with a vertical symmetry axis (vertical transversely isotropic) to a tilted transversely isotropic medium by applying point‐by‐point mapping of the traveltime function. This approach can be used for kinematic modelling and inversion in layered tilted transversely isotropic media.
Transverse isotropy
Axis of symmetry
Point reflection
Cite
Citations (6)
Transverse isotropy
Homogenization
Matrix (chemical analysis)
Cite
Citations (8)