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Matrix Methods in Elasto Mechanics

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The article was published on 1963-01-01 and is currently open access. It has received 175 citations till now. The article focuses on the topics: Matrix method.

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Finite element analysis of the in-plane behaviour of annular disks

TL;DR: In this paper, a semi-analytical, one-dimensional finite element model was developed using a Fourier series approach to account for the circumferential behaviour of annular disks, which can be readily coded into any general purpose finite element program.
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Static analysis of Timoshenko beam on elastic multilayered soils by combination of finite element and analytical layer element

TL;DR: In this article, a theory for static analysis of a Timoshenko beam on elastic multilayered isotropic soils is presented, where the analytical solution for a single soil layer loaded by axisymmetric load is deduced by an order reduction method, and then promoted to solve problems involving multi-layered soils based on the analytical layer element method.
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Efficient Reformulation of the Thomson–Haskell Method for Computation of Surface Waves in Layered Half-Space

TL;DR: In this paper, a modified version of the Thomson-Haskell transfer matrix method was proposed for the stable modeling of surface waves in a layered half-space, where the interface stiffness of the layer propagator matrix was determined instead of directly building the propagation matrix.
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Delamination assessment of a laminated composite beam using distributed piezoelectric sensor/actuator

TL;DR: In this paper, an accurate model of the laminated beam including a delamination introduced inside as well as installed PZT transducers is established, and an analytical expression of the impedance, which involves information on the size and position of the delamination in the smart beam, is derived based on the improved MRRM via the recursive formulations.
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Reverberation-ray matrix analysis of free vibration of piezoelectric laminates

TL;DR: Based on the theory of first-order ordinary differential equations, a dual relation between two solutions in the dual local coordinates for a single layer in the laminate is derived, which is further arranged in a manner that can avoid the numerical instability usually encountered in the state space method as discussed by the authors.
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