具有参数化边界的变厚度非均质功能分级复合圆板在湿热力学载荷作用下的大挠度弯曲解析解

IF 6.3 2区 材料科学 Q1 MATERIALS SCIENCE, COMPOSITES
Qiang Yu , Hongli Gu , Shuaimin Wang , Hang Xu
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引用次数: 0

摘要

提出了一种全新的湿热力学弯曲模型,该模型针对厚度不同的非均质凹凸复合圆板,在非线性三参数弹簧和剪切弹性层上发生大变形。圆板的三维分析湿热场在轴向变化中具有非均匀的热扩散系数和湿扩散系数,而材料的厚度和弹性模量则以二次变化建模,并在归一化中进行了充分总结。通过线性规划方法,对带有任意平移和旋转约束的圈定边界进行参数化,并在矩形域中突出弹性参数的可行区域。推导出了复合圆板在极端载荷下的两个降阶积分微分治理方程,并通过基于同调的分析方案获得了弯曲解析解,通过截断和迭代加快了收敛速度,验证了解析解的准确性。无论复合材料的厚度或弹性模数是否可变,板结构强度的最终结果都是不同承载能力下弯曲刚度的差异,在相同数值条件下,前者比后者更敏感。一旦确定了湿热荷载的振幅和分布,对圆板大挠度弯曲的影响就会在有限的非线性范围内存在,而热膨胀和湿度浓度的非均匀分布只会在这一范围内加剧弯曲效应。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Analytical solutions for large-deflection bending of variable-thickness inhomogeneous functional graded composite circular plates with parameterized boundaries under hygro-thermo-mechanical loads
A brand-new hygro-thermo-mechanical bending model of the inhomogeneous concave and convex composite circular plates having varying thickness undergoing large deformation resting on nonlinear tri-parameter spring and shear elastic layers is proposed. Three-dimensional analytical hygrothermal field of circular plate is demonstrated with non-uniform thermal and moisture diffusion coefficients in axial variation, while thickness and elastic module of material are modeled in quadratically change and sufficiently summarized in normalization. The circled boundaries with arbitrary translational and rotational constraints are parameterized with feasible region of elastic parameters highlighted in rectangular domain by Linear Programming method. Two reduced-order integro-differential governing equations for the composite circular plates under extreme load have been derived, while analytical bending solutions are obtained by an employed homotopy-based analytical scheme with accuracy verified and convergence accelerated by truncation and iteration. Whether thickness or elastic module of composite material is variable, the final outcome on plate structural strength is the discrepancy of bending stiffness with different load capacity, with the former revealing more sensitive than the latter under the condition of same values. Once amplitude and distribution of hygrothermal load are determined, influence on large-deflection bending of circular plates exists at a limited range of nonlinearity, while non-uniform distribution of thermal expansion and moisture concentration aggravates bending effects only within this range.
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来源期刊
Composite Structures
Composite Structures 工程技术-材料科学:复合
CiteScore
12.00
自引率
12.70%
发文量
1246
审稿时长
78 days
期刊介绍: The past few decades have seen outstanding advances in the use of composite materials in structural applications. There can be little doubt that, within engineering circles, composites have revolutionised traditional design concepts and made possible an unparalleled range of new and exciting possibilities as viable materials for construction. Composite Structures, an International Journal, disseminates knowledge between users, manufacturers, designers and researchers involved in structures or structural components manufactured using composite materials. The journal publishes papers which contribute to knowledge in the use of composite materials in engineering structures. Papers deal with design, research and development studies, experimental investigations, theoretical analysis and fabrication techniques relevant to the application of composites in load-bearing components for assemblies, ranging from individual components such as plates and shells to complete composite structures.
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