Thermal stress analysis of skew plates by finite element method
TL;DR: In this paper, thermal stress analysis of skew plates with mixed in-plane boundary conditions using finite element approach is attempted, in which the effect of in plane boundary conditions on the thermal stresses is also discussed.
About: This article is published in Computers & Structures.The article was published on 1985-01-01. It has received 3 citations till now. The article focuses on the topics: Boundary value problem & Finite element method.
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TL;DR: In this paper, the authors extended the Semiloof shell finite element formulation to thermal stress analysis of laminated plates and shells and verified the accuracy of the formulation using sample problems available in the literature.
34 citations
TL;DR: In this paper, the effects of boundary conditions, temperature distributions, aspect ratios, and other parameters on the thermal deformations and stresses are investigated, and the stiffness matrix and load vector are derived based on the minimum potential energy.
17 citations
TL;DR: In this paper, a Galerkin finite element procedure is adopted to solve the thermostruc tural problem for generally anisotropic as well as symmetrically laminated composite plates.
Abstract: A Galerkin finite element procedure is adopted to solve the thermostruc tural problem for generally anisotropic as well as symmetrically laminated composite plates. The two-dimensional temperature field is first computed and subsequently, the quasi-static inplane response of the structure is evaluated. Both steady and transient states are analysed, taking into account all conventional modes of heat transfer and the tempera ture dependence of several thermomechanical properties. Nonlinearity has been tackled with the help of the Euler's backward difference procedure in conjunction with a modified Newton-Raphson scheme for convergence.
12 citations
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1,397 citations
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01 Jan 1960
TL;DR: In this paper, a generalized theory of the most important energy principles in structural analysis is presented, which derive from two basic complementary theorems denoted as the principles of virtual displacements and virtual forces.
Abstract: This paper presents the generalized theory of the most important energy principles in structural analysis. All derive from two basic complementary theorems denoted as the principles of virtual displacements and virtual forces. Both exact and approximate methods are discussed and particular attention is paid to the derivation of upper and lower limits. The theory is not restricted to linearly elastic bodies but includes ab initio the effect of non‐linear stress‐strain laws and thermal strains. Finally the basic principles are illustrated on a number of simple examples in preparation for the more complex ones to appear in Parts II and III.
579 citations
TL;DR: In this paper, an extension of the Kantorovich variational method of minimising a functional is discussed, based on an iterative technique wherein functions derived from the solution of sets of simultaneous ordinary differential equations are used again in cyclic order to obtain an improved solution.
Abstract: In ref. 1, an extension of the Kantorovich variational method of minimising a functional is discussed. The extension is based on an iterative technique wherein functions derived from the solution of sets of simultaneous ordinary differential equations are used again in cyclic order to obtain an improved solution. It is conjectured that if the iterative procedure is continued indefinitely, the functional will be close to its correct value, and so also will the associated function. The method given in ref. 1 is a generalisation of the iterative technique for minimising a double integral given by the writer in ref. 4, although in this work the iterations are carried out in the first approximation of the Kantorovich method and convergence is obtained in the usual manner of Kantorovich. Like ref. 4, ref. 1 uses the classical torsion problem of a rectangular bar as an illustrative example. Each shows that accurate Prst approximation solutions can be obtained and ref. 1 goes on to show that, for this particular problem, the derived functions are unique and are not dependent on the initial choice for part of the function.
30 citations