DSQK finite element with assumed orthogonality bending energy and mixed transverse shear strains for thermal buckling analysis of three-layer functionally graded sandwich plates

IF 7.1 2区材料科学 Q1 MATERIALS SCIENCE, COMPOSITES

Composite Structures Pub Date : 2025-08-23 DOI:10.1016/j.compstruct.2025.119615

Irwan Katili , Sundararajan Natarajan , Magd Abdel Wahab , Susilo Widyatmoko

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Abstract

Thermal buckling of three-layer functionally graded sandwich plates is numerically studied using a new modified discrete shear quadrilateral plate element called the DSQK element. The plate kinematics is based on the Mindlin-Reissner formulation, and the proposed plate element has five degrees of freedom per node. To pass the constant bending strain patch test, an assumed orthogonality in bending strain energy is adopted from Bergan’s free formulation. The shear locking is alleviated by mixed transverse shear strains that are expressed by the second derivative of rotations obtained from the kinematic relationship, constitutive law, and equilibrium equations. The proposed element is valid for both thin and thick plates. The accuracy and the robustness of the proposed element are demonstrated with a few numerical examples. Furthermore, the influence of the plate aspect ratio, material gradient index, various schemes and thicknesses of three-layer functionally graded sandwich plates on the thermal buckling behaviour is studied.

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基于假设正交弯曲能和混合横向剪切应变的三层功能梯度夹层板热屈曲分析的DSQK有限元

采用一种新的改进的离散剪切四边形板单元DSQK单元，对三层功能梯度夹层板的热屈曲进行了数值研究。板的运动学基于Mindlin-Reissner公式，提出的板单元每个节点有五个自由度。为了通过恒定弯曲应变贴片试验，弯曲应变能采用Bergan自由公式中的假设正交性。由运动关系、本构律和平衡方程得到的旋转二阶导数表示的混合横向剪切应变缓解了剪切锁定。所提出的单元对薄板和厚板都有效。通过算例验证了所提单元的精度和鲁棒性。此外，还研究了三层功能梯度夹层板的板长径比、材料梯度指数、不同方案和厚度对三层功能梯度夹层板热屈曲行为的影响。

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来源期刊

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.