Laminated composite plates are widely used in modern structures. Resins of composites are almost made of polymers which show time dependent and and in some cases stress dependent behaviour. In this paper, a laminated composite plate is analysed using a multiscale method. At first, material properties of a lamina is obtained using an analytical micromechanical approach called simplified unit cel...

Multiexponential transient signals are particularly important due to their occurrences in many natural phenomena and human applications. For instance, it is important in the study of nuclear magnetic resonance (NMR) in medical diagnosis (Cohn-Sfetcu et al., 1975)), relaxation kinetics of cooperative conformational changes in biopolymers (Provencher, 1976), solving system identification problems...

A primary problem in waveform distortion assessment in power systems is to examine ways to reduce the effects of spectral leakage. In the framework of DFT approaches, line frequency synchronization techniques or algorithms to compensate for desynchronization are necessary; alternative approaches such as those based on the Prony and ESPRIT methods are not sensitive to desynchronization, but they...

The mechanical behavior of the tympanic membrane displays both non-linearity and viscoelasticity. Previous finite-element models of the tympanic membrane, however, have been either non-linear or viscoelastic but not both. In this study, these two features are combined in a non-linear viscoelastic model. The constitutive equation of this model is a convolution integral composed of a non-linear e...

We give a space-time Galerkin nite element discretization of the linear quasistatic compressible viscoelasticity problem as described by an elliptic partial diierential equation with a Volterra (memory) term. The discretization consists of a continuous piecewise linear approximation in space with a discontinuous piecewise constant or linear approximation in time. We derive an a priori maximum-e...

Abstract Measurement the viscoelastic properties is important for studying developmental and pathological behavior of soft biological tissues. Magnetic resonance elastography (MRE) a non-invasive method in vivo measurement tissue viscoelasticity. As flexible capable testing small samples, indentation has been widely used characterizing Using 2nd-order Prony series dimensional analysis, we analy...

We extend EUCLID, a computational strategy for automated material model discovery and identification, to linear viscoelasticity. For this case, we perform priori selection by adopting generalized Maxwell expressed Prony series, deploy EUCLID identification. The methodology is based on four ingredients: i. full-field displacement net force data; ii. very wide library — in our large number of ter...