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排序方式: 共有84条查询结果,搜索用时 31 毫秒
1.
This paper has two main objectives. The first is to examine the influence of membrane stresses on postbuckled deformations
of nonlinear elastic isotropic rectangular plates. The second is to further examine the accuracy of a new 3-D Cosserat eight
noded brick element (Nadler and Rubin in Int J Solids Struct 40: 4585–4614, 2003) which was developed within the context of
the theory of a Cosserat point. The equations of the Cosserat element include both material and geometric nonlinearities.
A number of example problems are considered which examine predictions of the Cosserat element for beams and plates and comparison
has been made with results from the commercial codes ANSYS and ADINA. Also, the approximate nonlinear postbuckling solution
described in Timoshenko and Gere (Theory of elastic stability, Mc Graw-Hill, New York) is shown to be more limited than originally
expected. These results suggest that the Cosserat element is robust, can perform well under extreme conditions and is capable
of modeling combinations of three-dimensional bodies with attached thin structures. 相似文献
2.
3.
为更有效地研究具有周期性微观结构的非均质材料平面应变问题,用基于Cosserat理论的渐进均匀化方法得到微观结构对非均质材料有效性能的影响情况.计算结果表明,单胞内夹杂体的形状对有效杨氏弹性模量、有效泊松比、有效Cosserat弹性常数和有效材料特征长度有影响,并且随着夹杂体与单胞体积比的增大而影响明显. 相似文献
4.
The finite element models of Cosserat continuum in two- and three-dimensions are presented. The size effects of a cantilever beam and a micro-rod, the well-posedness, the mesh-independent solutions of the boundary value problems with non-associated elastoplastic and strain softening constitutive behavior, and the progressive failure of the two- and three-dimensional vertical excavations are studied. Numerical results illustrate that the proposed Cosserat continuum models are capable of reflecting the size effects of micro-structures, preserving the well-posedness of the boundary value problem characterized by the strain localization, ensuring mesh-independent solutions, and simulating the entire progressive failure process occurring in engineering structures. 相似文献
5.
Ali Najafi Aria Alasty Ramin Vatankhah Mohammad Eghtesad Farhang Daneshmand 《Asian journal of control》2017,19(6):2219-2225
Boundary stabilization of vibrating three‐dimensional Cosserat elastic solids are studied using mathematical tools, such as operator theory and semigroup techniques. The advantages of the boundary control laws for both boundary stabilization problems are investigated. The boundary stabilization problems are studied using a Lyapunov stability method and LaSalle's invariant set theorem. Numerical simulations are provided to illustrate the effectiveness and performance of the designed control scheme. 相似文献
6.
Mircea Bîrsan 《International Journal of Engineering Science》2009,47(1):21-38
We investigate the static deformation of cylindrical elastic shells, using the theory of Cosserat surfaces. We consider anisotropic and inhomogeneous cylindrical shells with arbitrary (open or closed) cross-section. The constitutive coefficients are assumed to be independent of the axial coordinate. In the context of linearized theory, we determine a solution of the relaxed Saint-Venant’s problem. Finally, we apply the general results in the special cases of circular cylindrical shells and of Cosserat plates made from an orthotropic material. 相似文献
7.
Cosserat连续介质的Mohr-Coulomb屈服准则及其应用 总被引:1,自引:0,他引:1
Cosserat连续介质下的应力、应变张量具有不对称性,经典连续介质的屈服准则无法直接用于Cosserat连续介质. 将应变、应力张量分解为对称和反对称两部分,修正了经典连续介质下三个应力不变量的表达式,建立适用于Cosserat连续介质弹塑性有限元分析的Mohr-Coulomb屈服准则,给出了Cosserat连续介质下von Mises、Tresca和Drucker-Prager屈服准则的表达式. 自然边坡数值算例表明了修正Mohr-Coulomb屈服准则的有效性,验证了Cosserat连续介质理论通过引入材料特征长度可以解决经典连续介质理论分析应变局部化问题时遇到的网格敏感性问题. 相似文献
8.
E. F. I. Boerner S. Loehnert P. Wriggers 《International journal for numerical methods in engineering》2007,71(4):454-472
This paper describes an improvement of the Cosserat point element formulation for initially distorted, non-rectangular shaped elements in 2D. The original finite element formulation for 3D large deformations shows excellent behaviour for sensitive geometries, large deformations, coarse meshes, bending dominated and stability problems without showing undesired effects such as locking or hourglassing, as long as the initial element shape resembles that of a rectangular parallelepiped. In the following, an extension of this element formulation for 2D plane strain is presented which has the same good properties also for the case of non-rectangular initial element shapes. Results of numerical tests are presented, that clearly show the advantages of the improved Cosserat point element compared to the standard displacement elements and the original version of the Cosserat point element. Copyright © 2007 John Wiley & Sons, Ltd. 相似文献
9.
Response of a nonlinear elastic general Cosserat brick element in simulations typically exhibiting locking and hourglassing 总被引:1,自引:1,他引:0
A comparison between the recently developed Cosserat brick element (see [9]) and other standard elements known from the literature is presented in this paper. The Cosserat brick element uses a director vector formulation based on the theory of a Cosserat point. The strain energy for a hyperelastic element is split additively into parts for homogeneous and inhomogeneous deformations respectively. The kinetic response due to inhomogeneous deformations uses constitutive constants that are determined by analytical solutions of a rectangular parallelepiped to the deformation modes of bending, torsion and hourglassing. Standard tests are performed which typically exhibit hourglassing or locking for many other finite elements. These tests include problems for beam and plate bending, shell structures and nearly incompressible materials, as well as for buckling under high pressure loads. For all these critical tests the Cosserat brick element exhibits robustness and reliability. Moreover, it does not depend on user-tuned stabilization parameters. Thus, it shows promise of being a truly user-friendly element for problems in nonlinear elasticity. 相似文献
10.