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Linear Elastic Stress Analysis of 2D Cracks
2012To begin to understand fracture of materials, one must first know the stress and deformation fields near the tips of cracks. Thus the first topic in fracture mechanics is the linear elastic analysis of crack tip fields. The solutions derived here will be seen to violate the assumptions upon which linear elasticity theory is grounded.
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Justification of the asymptotic analysis of elastic plates, I. The linear case
Asymptotic Analysis, 1994The method of asymptotic expansions used by P.G. Ciarlet and his co-workers for justifying the two-dimensional Kirchhoff Love theory of linearly or nonlinearly elastic plates relies in a crucial way on appropriate sea lings of the components of the displacement and appropriate assumptions on the data (Lamé constants and applied forces).
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Linear dynamics of elastic helical springs: asymptotic analysis of wave propagation
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2009Helical springs serve as vibration isolators in virtually any suspension system. A variety of theories to describe the dynamic behaviour of these structural elements, which involves interaction of flexural, torsion and longitudinal waves, can be found in the literature.
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Linear-Elastic Finite Element Analysis
Materials Testing, 2000J. Dollhofer, W. Bockert, B. Lauke
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Deep neural networks with Elastic Rectified Linear Units for object recognition
Neurocomputing, 2018Xiaoheng Jiang +2 more
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