• Smart Structures and Systems
• /
• 제15권6호
• /
• pp.1569-1582
• /
• 2015

Two hyperbolic displacement models are used for the bending response of simply-supported orthotropic laminated composite plates resting on two-parameter elastic foundations under mechanical loading. The models contain hyperbolic expressions to account for the parabolic distributions of transverse shear stresses and to satisfy the zero shear-stress conditions at the top and bottom surfaces of the plates. The present theory takes into account not only the transverse shear strains, but also their parabolic variation across the plate thickness and requires no shear correction coefficients in computing the shear stresses. The governing equations are derived and their closed-form solutions are obtained. The accuracy of the models presented is demonstrated by comparing the results obtained with solutions of other theories models given in the literature. It is found that the theories proposed can predict the bending analysis of cross-ply laminated composite plates resting on elastic foundations rather accurately. The effects of Winkler and Pasternak foundation parameters, transverse shear deformations, plate aspect ratio, and side-to-thickness ratio on deflections and stresses are investigated.

• Structural Engineering and Mechanics
• /
• 제57권4호
• /
• pp.617-639
• /
• 2016

In this work, an analytical formulation based on both hyperbolic shear deformation theory and stress function, is presented to study the nonlinear post-buckling response of symmetric functionally graded plates supported by elastic foundations and subjected to in-plane compressive, thermal and thermo-mechanical loads. Elastic properties of material are based on sigmoid power law and varying across the thickness of the plate (S-FGM). In the present formulation, Von Karman nonlinearity and initial geometrical imperfection of plate are also taken into account. By utilizing Galerkin procedure, closed-form expressions of buckling loads and post-buckling equilibrium paths for simply supported plates are obtained. The effects of different parameters such as material and geometrical characteristics, temperature, boundary conditions, foundation stiffness and imperfection on the mechanical and thermal buckling and post-buckling loading capacity of the S-FGM plates are investigated.

• 에너지공학
• /
• 제8권4호
• /
• pp.540-545
• /
• 1999

고전적인 Fourier 열전도 방정식은 극저온하에서 또는 아주 짧은 시간동안의 가열시 타당성이 없는 것으로 고려되었다. 이러한 조건하에서는 열전도파의 성질이 지배적이기 때문에 , 수정된 Fourier 법칙에 근거한 쌍곡선형 열전도 방정식이 도입되었다. 열전도에 대한 Fourier 모델과 쌍곡선형 열전도모델이 적분변환법과 함께 Green 함수방법을 이용하여 분되었다. 한쪽 표면에서 주기적인 표면가열을 하는 유한한 평판의 열유속 분포 및 온도분포의 해를 제시하였고 각가의 모델로부터 얻어진 결과를 서로 비교검토하였다. 쌍곡선형 열전도 방정식에서 유도된 열전도파는 매개물을 통해 전파되어 맞은편쪽의 단열표면에서 가열 표면쪽으로 반사하였으나 , 고전적인 Fourier 모델에 의한 열은 열적교란이 매개물의 전체에 걸쳐서 전달된 후 즉각적으로 무한한 속도로 열전파가 발생함을 보여주었다.

• 한국압력기기공학회 논문집
• /
• 제20권1호
• /
• pp.56-65
• /
• 2024

Cast austenitic stainless steels (CASS) and austenitic stainless steel weldments with a ferrite-austenite duplex structure are widely used in nuclear power plants, incorporating ferrite phase to enhance strength, stress relief, and corrosion resistance. Thermal aging at 290-325℃ can induce embrittlement, primarily due to spinodal decomposition and G-phase precipitation in the ferrite phase. This study evaluates the effects of thermal aging by collecting and analyzing various mechanical properties, such as Charpy impact energy, ferrite microhardness, and tensile strength, from various literature sources. Different model expressions, including hyperbolic tangent and phase transformation equations, are applied to calculate activation energy (Q) of room-temperature impact energies, and the results are compared. Additionally, predictive models for Q based on material composition are evaluated, and the potential of machine learning techniques for improving prediction accuracy is explored. The study also examines the use of ferrite microhardness and tensile strength in calculating Q and assessing thermal embrittlement. The findings provide insights for developing advanced prediction models for the thermal embrittlement behavior of CASS and the weldments of austenitic steels, contributing to the safety and reliability of nuclear power plant components.