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1.
The paper compares two approaches to determining the axisymmetric elastoplastic stress-strain state of laminated shells made
of isotropic and transversely isotropic materials with different elastic moduli in tension and compression. The approaches
use different nonlinear constitutive equations describing the elastic deformation of the transversally isotropic bimodulus
materials. Both approaches employ the theory of deformation along paths of small curvature and the Kirchhoff-Love hypothesis
for the whole laminate to describe the deformation of the isotropic materials. The problem is solved by the method of successive
approximations. The solutions of specific problems obtained by the two approaches are analyzed
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Translated from Prikladnaya Mekhanika, Vol. 44, No. 6, pp. 59–69, June 2008. 相似文献
2.
The paper presents a technique for numerical analysis of the elastoplastic stress-strain state of flexible laminated shells
of revolution made of isotropic and transversely isotropic materials and subjected to axisymmetric loading and heating. The
technique is based on the Kirchhoff-Love hypotheses for the whole laminate. The deformation of the isotropic materials is
described using the theory of deformation along paths of small curvature. The deformation of the transversely isotropic material
is described using the flow theory with isotropic hardening. The process of loading is divided into steps at each of which
the stress-strain state is determined by the method of successive approximations. A numerical example is given
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Translated from Prikladnaya Mekhanika, Vol. 42, No. 12, pp. 76–86, December, 2006. 相似文献
3.
A method is developed for analysis of the elastoplastic stress-strain state of laminated shells of revolution under axisymmetric
loading. The shells are made of isotropic and transversally isotropic materials with different moduli. The method is based
on the Kirchhoff-Love hypotheses for the whole laminate, the theory of deformation along paths of small curvature (for isotropic
materials), and the theory of elasticity with different tensile and compressive moduli (transversely isotropic materials).
The problem is solved by the method of successive approximations. Numerical examples are given
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Translated from Prikladnaya Mekhanika, Vol. 41, No. 8, pp. 88–96, August 2005. 相似文献
4.
The method of successive approximations is used to determine the thermoelastoplastic stress-strain state of isotropic and
transversally isotropic laminated shells of revolution under axisymmetric loading. Hill’s theory of plasticity with isotropic
hardening is used to describe the deformation of transversely isotropic materials, while the theory of deformation along paths
of small curvature is used to describe the deformation of isotropic materials. The elastoplastic stress-strain state of a
two-layer cylindrical shell under mechanical and thermal loads is analyzed
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Translated from Prikladnaya Mekhanika, Vol. 42, No. 6, pp. 71–80, June 2006. 相似文献
5.
V. G. Savchenko 《International Applied Mechanics》2006,42(11):1246-1255
A technique is proposed to allow for damages and different tensile and compressive moduli of orthotropic materials in stress-strain
analysis of compound bodies of revolution under nonaxisymmetric loading and heating. The technique combines the semi-analytic
finite-element method and the method of successive approximations
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Translated from Prikladnaya Mekhanika, Vol. 42, No. 11, pp. 57–68, November 2006. 相似文献
6.
A method is proposed for the numerical analysis of the thermoelastoplastic stress-strain state of laminated shells of revolution, made of isotropic and orthotropic materials, under axisymmetric loading. The method is based on the Kirchhoff-Love hypotheses for a layer stack, the theory of deformation along paths of small curvature for isotropic materials, and Hills theory of flow with isotropic hardening for orthotropic materials. The problem is solved by the method of successive approximations. A numerical example is given.__________Translated from Prikladnaya Mekhanika, Vol. 40, No. 12, pp. 84–91, December 2004. 相似文献
7.
A technique for stability analysis of anisotropic cylindrical shells is developed. It permits us to examine the cases of reinforcement
where the elastic axes of layers do not coincide with the coordinate axes of the shell. The solution is obtained using the
mixed equations of the Donnell-Mushtari-Vlasov theory of shells. The deflection and force functions are approximated by trigonometric
series. Single-layer and multilayer cylindrical shells with fiber orientation of two types are analyzed for stability. It
is revealed that when layers are few, failure to incorporate the direction of fibers in layers into the design model results
in highly inaccurate values of critical loads
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Translated from Prikladnaya Mekhanika, Vol. 42, No. 3, pp. 80–88, March 2006. 相似文献
8.
9.
采用弹性理论研究了拉压不同弹性模量薄板上圆孔的孔边应力集中问题.采用广义虎克定律推导出了拉压不同弹性模量薄板上圆孔边的应力平衡方程,并联合利用应力函数及边界条件得到了拉压不同弹性模量薄板上圆孔边的应力表达式.算例分析表明,当薄板材料的拉压弹性模量相差较大时,采用经典弹性理论研究薄板上圆孔的孔边应力是不合适的,当经典弹性理论与拉压不同弹性模量弹性理论的计算结果间的差别超过工程允许误差5%时,应该采用拉压不同弹性模量弹性理论进行计算. 相似文献
10.
拉压性能不同材料全量型本构关系及厚壁筒的应力分析 总被引:1,自引:0,他引:1
将经典全量理论作了推广,考虑了应力状态及塑性体积变形对拉压性能不同材料的塑性行为的影响。应用该本构模型分别计算了厚壁筒在内压和外压作用下的应力分布。给出了径向应力、环向应力和轴向应力沿壁厚的分布图。将本文的计算解与拉压性能相同(不考虑体积变形、强化曲线唯一)的幂函数强化材料的厚壁筒的理论解进行了比较。结果表明,材料的拉压性能不同对厚壁筒的环向应力和轴向应力影响较大。因此,对于拉压性能不同材料,考虑到其对应力状态及塑性体积变形敏感时,是不能将其简化成拉压性能相同、体积不可压缩、强化曲线唯一的理想材料。 相似文献