Computational Mechanics
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3-D schapery representation for non-linear viscoelasticity and finite element implementation
Computational Mechanics - Tập 18 - Trang 182-191 - 1996
On the basis of the one-dimensional Schapery representation for non-linear viscoelasticity, a three-dimensional constitutive model incorporating the effects of temperature and physical ageing is developed for isotropic non-linear viscoelastic materials. Adopting the assumption that the hydrostatic and deviatoric responses are uncoupled, the contitutive equation is expressed in incremental form for......
Piecewise oblique boundary treatment for the elastic–plastic wave equation on a cartesian grid
Computational Mechanics - Tập 44 - Trang 745-755 - 2009
Numerical schemes for hyperbolic conservation laws in 2-D on a Cartesian grid usually have the advantage of being easy to implement and showing good computational performances, without allowing the simulation of “real-world” problems on arbitrarily shaped domains. In this paper a numerical treatment of boundary conditions for the elastic–plastic wave equation is developed, which allows the simulat......
On a consistent field transfer in non linear inelastic analysis and ultimate load computation
Computational Mechanics - Tập 42 - Trang 213-226 - 2007
In this work we propose a field transfer operator for remeshing carried out in the course of incremental analysis of a non linear inelastic behavior. The proposed procedure is geared towards the ultimate load computation of a complex structure, where we choose the appropriate mesh grading for each different phase of computations, starting with a coarse mesh for the initial linear response and goin......
A constitutive model for compressible elastomeric solids
Computational Mechanics - Tập 18 - Trang 339-355 - 1996
A non-linear thermo-elastic constitutive model for the large deformations of isotropic materials is formulated. This model is specialized to account for the physics and thermodynamics of the elastic deformation of rubber-like materials, and based on these molecular considerations a constitutive model for compressible elastomeric solids is proposed. The new constitutive model generalizes the incomp......
A quartic B-spline based explicit time integration scheme for structural dynamics with controllable numerical dissipation
Computational Mechanics - Tập 59 - Trang 403-418 - 2016
An explicit time integration scheme based on quartic B-splines is presented for solving linear structural dynamics problems. The scheme is of a one-parameter family of schemes where free algorithmic parameter controls stability, accuracy and numerical dispersion. The proposed scheme possesses at least second-order accuracy and at most third-order accuracy. A 2D wave problem is analyzed to demonstr......
Computational modeling of fiber flow during casting of fresh concrete
Computational Mechanics - Tập 63 - Trang 1111-1129 - 2018
The Folgar–Tucker fiber orientation model coupled with weakly compressible Smoothed Particle Hydrodynamics is used to simulate the process of casting of fiber reinforced concrete and to predict the spatial-temporal evolution of the probability density function of fiber orientation. The flowable concrete-fiber mix is modeled as a viscous Bingham-type fluid. Model predictions qualitatively agree wit......
Numerically solving non-linear problems by the homotopy analysis method
Computational Mechanics - Tập 20 - Trang 530-540 - 1997
In this paper, the Homotopy Analysis Method (HAM) proposed by Liao (1992a, 1992b, 1992c, 1992e, 1995a, 1997a) is greatly improved by introducing a nonzero variable ℏ. Based on the HAM, a new numerical approach for strongly non-linear problems is proposed and applied to solve, as an example, a non-linear heat transfer problem, i.e. microwave heating of an unit plate, so as to verify its validity a......
Some challenges in computational vibro-acoustics: verification, validation and medium frequencies
Computational Mechanics - Tập 42 - Trang 317-326 - 2007
The simulation of the wave propagation phenomenon is one of the most challenging issue in the computational mechanics field. Many questions are still open among which we quote: the need for reliable error estimators, preferably in local or engineering quantities, the need for reliable updating methods with respect to material absorption parameters, and, finally, the need for more accurate numerica......
Micromechanical modelling of switching phenomena in polycrystalline piezoceramics: application of a polygonal finite element approach
Computational Mechanics - Tập 48 - Trang 421-435 - 2011
A micromechanically motivated model is proposed to capture nonlinear effects and switching phenomena present in ferroelectric polycrystalline materials. The changing remnant state of the ferroelectric crystal is accounted for by means of so-called back fields—such as back stresses—to resist or assist further switching processes in the crystal depending on the local loading history. To model interg......
Variable-complexity response surface approximations for wing structural weight in HSCT design
Computational Mechanics - Tập 18 - Trang 112-126 - 1996
A procedure for generating and using a polynomial approximation to wing bending material weight of a High Speed Civil Transport (HSCT) is presented. Response surface methodology is used to fit a quadratic polynomial to data gathered from a series of structural optimizations. Several techniques are employed in order to minimize the number of required structural optimizations and to maintain accurac......
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