Titlebook: Elasto-Plasticity of Frame Structure Elements; Modeling and Simulat Andreas Öchsner Book 2014 Springer-Verlag Berlin Heidelberg 2014 Consti

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Continuum Mechanics of Plasticity,er deriving and presenting these equations for the one-dimensional stress and strain state, the equations are generalized for a two-component .-. stress state. Based on these basic equations, the concept of effective stress and strain as well as the elasto-plastic modulus is introduced. The chapter

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Axial Loading of Rods,elationship, the constitutive law and the equilibrium equation, the partial differential equation which describes the problem is derived. Analytical solutions in the pure elastic and elasto-plastic range for different loading and boundary conditions are derived and discussed.

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Bending of Beams,nship, the constitutive law and the equilibrium equation, the partial differential equations which describe the problem are derived. Three different types of theories are treated, i.e. the . theory, the . theory and higher-order beam theories. Analytical solutions in the pure elastic range are prese

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Review of Linear-Elastic Finite Element Simulations, the weighted residual method, which allows to derive all classical approximation methods, is introduced. Then, each element type is considered separately in pure one-dimensional structures in the scope of the finite element method. Finally, the case of plane frame structures, which allows to arrang

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Prelude to the General Three-Dimensional Case,ve and the kinematics relationships are used to derive the governing differential equation of static solids. The finite element approximation for linear-elastic material behavior is presented for hexahedron solid elements. The chapter closes with an introduction to the handling of elasto-plastic mat

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rvorgegangen sind aus den weiter entwickelten und sich verbreiternden Holzteilen der Gefäßbündel. Diese Holzstränge bestehen bei den Laubhölzern aus drei verschiedenen Elementen: Aus Gefäßen (Tracheen) und Tracheiden, Holzfasern (Libriform) und Holzparenchymzellen.