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 an...
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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