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A cylindrically curved panel in a state of generalized plane strain subject to a radial temperature gradient is discussed by analytical means. The ends of this thick‐walled shell are presupposed to be guided in such a way that a displacement in circumferential direction may occur and that the radius of the middle surface remains unchanged. Then, couples act on those ends, giving rise to pure bending condition. The material is power‐law functionally graded, and – based on the rule of mixtures – a coherent dependence of all the material properties (except for Poisson's ratio) on the radial coordinate is taken into account. The stresses occurring for both a positive and a negative temperature gradient are analyzed, and one finds that, depending on the grading exponent, the yield limit according to von Mises may be reached either at the inner surface, the outer surface or at both surfaces simultaneously. Numerical results are provided for a steel/aluminum FGM, and it is shown that by appropriate grading not only a reduction of the couples acting at the supports but in some cases also a considerable reduction of the weight of the panel may be achieved.

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Bu çalışmada fonksiyonel derecelendirilmiş malzemeden yapılmış silindirik olarak eğri eksenli kirişin elastik davranışı analitik olarak incelenmiştir. Çalışmada elastisite modülü üstel kuvvete bağlı olarak kirişin kalınlığı boyunca değiştiği varsayılmaktadır. Aynı zamanda genel lineer karışım kanunu uygulanarak, diğer özellikleri de (ısıl genleşme katsayısı, ısı iletim katsayısı, akma dayanımı) üstel kuvvete göre değişmektedir. Poisson oranı ise sabit kalmakta değişmemektedir. Kirişe uygulanan sıcaklık dağılımı kirişin kalınlığı doğrultusunda ve radyal koordinatın bir fonksiyonu olarak değişmektedir. Kiriş düzlem gerilme durumunda olduğu varsayılmaktadır. Elastik davranışı belirlemek için von Mises akma kriteri kullanılmıştır. Kirişe pozitif, negatif ve homojen sıcaklıklar uygulanmış ve akmanın iç yüzeyde, dış yüzeyde ve aynı anda her iki yüzeyde başladığı görülmüştür.In this study, the elastic behavior of the functionally graded cylindrically curved beam is analytically investigated. In the study, it is assumed that the modulus of elasticity varies along the thickness of the beam depending on the power law. Accordingly, by applying the general linear mixing law, other properties (thermal expansion coefficient, heat conduction coefficient, yield strength) vary according to the power law. Poisson's ratio remains constant. The temperature distribution applied to the beam varies with the thickness of the beam and as a function of the radial coordinate. The beam is assumed to be in the plane stress state. To determine the elastic behavior, von Mises yield criterion was used. Positive, negative and homogeneous temperatures were applied to the beam and the yielding was observed on the inner surface, the outer surface and at the same time on both surfaces.