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1999
Finite element analysis for heat transfer involves laying out the physical 3D structure of a package, assigning thermal properties to the different pieces (die, package body, leadframe, etc.), and then “meshing” the physical structure into small elements.
D. Monthei
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Finite element analysis for heat transfer involves laying out the physical 3D structure of a package, assigning thermal properties to the different pieces (die, package body, leadframe, etc.), and then “meshing” the physical structure into small elements.
D. Monthei
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Introduction to the finite element method
Finite Element Analysis, 20211. Let Ω = (−1, 1)× (0, 1). We consider the initial boundary value problem ut − uxx = 0, in Ω, (1a) u(±1, t) = 0, for 0 ≤ t ≤ 1, (1b) u(x, 0) = sin(nπx), n ∈ N. (1c) a) Give the analytical solution u(x, t) for general n ∈ N.
G. Nikishkov
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, 2004 The Finite Element Method (FEM) is one of the most effective methods for the numerical solution of field problems formulated in partial differential equations. The basic idea of the FEM is a discretization of the continuous structure into substructures. This is equivalent to replacing a domain having an infinite number of degrees of freedom by a system
Johannes Altenbach +2 more
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2001
The finite element method is the most popular numerical method for solving elliptic boundary value problems. In this chapter, we introduce the concept of the finite element method, the finite element interpolation theory and its application in error estimates of finite element solutions of elliptic boundary value problems.
Kendall Atkinson, Weimin Han
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The finite element method is the most popular numerical method for solving elliptic boundary value problems. In this chapter, we introduce the concept of the finite element method, the finite element interpolation theory and its application in error estimates of finite element solutions of elliptic boundary value problems.
Kendall Atkinson, Weimin Han
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Mathematical methods in the applied sciences, 2021
In this study, size‐dependent thermo‐mechanical vibration analysis of nanobeams is examined. Size‐dependent dynamic equations are obtained by implementing Hamilton's principle based on Timoshenko beam theory and then combined with stress equation of ...
Hayri Metin Numanoğlu +3 more
semanticscholar +1 more source
In this study, size‐dependent thermo‐mechanical vibration analysis of nanobeams is examined. Size‐dependent dynamic equations are obtained by implementing Hamilton's principle based on Timoshenko beam theory and then combined with stress equation of ...
Hayri Metin Numanoğlu +3 more
semanticscholar +1 more source
CIRP Encyclopedia of Production Engineering, 2018
Meri Rahmi, Suliono, Badruzzaman
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Meri Rahmi, Suliono, Badruzzaman
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