Open Access
EDITORIAL
Loc Vu-Quoc1 and Shaofan Li2
CMES-Computer Modeling in Engineering & Sciences, Vol.129, No.3, pp. 1075-1075, 2021, DOI:10.32604/cmes.2021.018780
（This article belongs to this Special Issue: Advances in Computational Mechanics and Optimization
To celebrate the 95th birthday of Professor Karl Stark Pister)
Abstract This article has no abstract. More >
Open Access
EDITORIAL
Mark Austin, Thomas J.R. Hughes, Pamela Eibeck, Darryll Pines, Alice Agogino, J. Tinsley Oden, Lola Martin-Atilano, Billie Greene, Stein Sture, Constance Lütolf-Carroll, Ekkehard Ramm, Paula Hawthorn, Barbara Simons, Antoinette Torres, Carlos Felippa, Brant Smith, Peter Pinsky, Gary May, Sheila Humphreys, Loc Vu-Quoc
CMES-Computer Modeling in Engineering & Sciences, Vol.129, No.3, pp. 1077-1122, 2021, DOI:10.32604/cmes.2021.018838
（This article belongs to this Special Issue: Advances in Computational Mechanics and Optimization
To celebrate the 95th birthday of Professor Karl Stark Pister)
Abstract This article has no abstract. More >
Open Access
EDITORIAL
CMES-Computer Modeling in Engineering & Sciences, Vol.129, No.3, pp. 1123-1123, 2021, DOI:10.32604/cmes.2021.019387
（This article belongs to this Special Issue: Advances in Computational Mechanics and Optimization
To celebrate the 95th birthday of Professor Karl Stark Pister)
Abstract
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Open Access
ARTICLE
S. Morganti1, F. Fahrendorf2, L. De Lorenzis3, J. A. Evans4, T. J. R. Hughes5,* and A. Reali6
CMES-Computer Modeling in Engineering & Sciences, Vol.129, No.3, pp. 1125-1150, 2021, DOI:10.32604/cmes.2021.016832
（This article belongs to this Special Issue: Advances in Computational Mechanics and Optimization
To celebrate the 95th birthday of Professor Karl Stark Pister)
Abstract We investigate primal and mixed u−p isogeometric collocation methods for application to nearly-incompressible
isotropic elasticity. The primal method employs Navier’s equations in terms of the displacement unknowns, and the
mixed method employs both displacement and pressure unknowns. As benchmarks for what might be considered
acceptable accuracy, we employ constant-pressure Abaqus finite elements that are widely used in engineering applications. As a basis of comparisons, we present results for compressible elasticity. All the methods were completely
satisfactory for the compressible case. However, results for low-degree primal methods exhibited displacement
locking and in general deteriorated in the nearly-incompressible case. The results for… More >
Open Access
ARTICLE
Mertcan Cihan, BlaŽ Hudobivnik, Fadi Aldakheel, Peter Wriggers*
CMES-Computer Modeling in Engineering & Sciences, Vol.129, No.3, pp. 1151-1180, 2021, DOI:10.32604/cmes.2021.016851
（This article belongs to this Special Issue: Advances in Computational Mechanics and Optimization
To celebrate the 95th birthday of Professor Karl Stark Pister)
Abstract The virtual element method (VEM) can be seen as an extension of the classical finite element method (FEM)
based on Galerkin projection. It allows meshes with highly irregular shaped elements, including concave shapes.
So far the virtual element method has been applied to various engineering problems such as elasto-plasticity,
multiphysics, damage and fracture mechanics. This work focuses on the extension of the virtual element method to
efficient modeling of nonlinear elasto-dynamics undergoing large deformations. Within this framework, we employ
low-order ansatz functions in two and three dimensions for elements that can have arbitrary polygonal shape.
The formulations considered in this… More >
Open Access
ARTICLE
Hiroki Akehashi, Izuru Takewaki*
CMES-Computer Modeling in Engineering & Sciences, Vol.129, No.3, pp. 1181-1207, 2021, DOI:10.32604/cmes.2021.017204
（This article belongs to this Special Issue: Advances in Computational Mechanics and Optimization
To celebrate the 95th birthday of Professor Karl Stark Pister)
Abstract A new method of robust damper design is presented for elastic-plastic multi-degree-of-freedom (MDOF) building
structures under multi-level ground motions (GMs). This method realizes a design that is effective for various
levels of GMs. The robustness of a design is measured by an incremental dynamic analysis (IDA) curve and an ideal
drift response curve (IDRC). The IDRC is a plot of the optimized maximum deformation under a constraint on the
total damper quantity vs. the design level of the GMs. The total damper quantity corresponds to the total cost of
the added dampers. First, a problem of generation of IDRCs is… More >
Open Access
ARTICLE
Carlos A. Felippa*
CMES-Computer Modeling in Engineering & Sciences, Vol.129, No.3, pp. 1209-1241, 2021, DOI:10.32604/cmes.2021.016803
（This article belongs to this Special Issue: Advances in Computational Mechanics and Optimization
To celebrate the 95th birthday of Professor Karl Stark Pister)
Abstract This paper considers Lagrangian finite elements for structural dynamics constructed with cubic displacement
shape functions. The method of templates is used to investigate the construction of accurate mass-stiffness pairs.
This method introduces free parameters that can be adjusted to customize elements according to accuracy and
rank-sufficiency criteria. One- and two-dimensional Lagrangian cubic elements with only translational degrees of
freedom (DOF) carry two additional nodes on each side, herein called side nodes or SN. Although usually placed
at the third-points, the SN location may be adjusted within geometric limits. The adjustment effect is studied in
detail using symbolic computations for a… More >
Open Access
ARTICLE
Magdalini Ntetsika, Panayiotis Papadopoulos*
CMES-Computer Modeling in Engineering & Sciences, Vol.129, No.3, pp. 1243-1258, 2021, DOI:10.32604/cmes.2021.017404
（This article belongs to this Special Issue: Advances in Computational Mechanics and Optimization
To celebrate the 95th birthday of Professor Karl Stark Pister)
Abstract A new and computationally efficient version of the immersed boundary method, which is combined with the
coarse-graining method, is introduced for modeling inextensible filaments immersed in low-Reynolds number
flows. This is used to represent actin biopolymers, which are constituent elements of the cytoskeleton, a complex network-like structure that plays a fundamental role in shape morphology. An extension of the traditional
immersed boundary method to include a stochastic stress tensor is also proposed in order to model the thermal
fluctuations in the fluid at smaller scales. By way of validation, the response of a single, massless, inextensible
semiflexible filament immersed in… More >
Open Access
ARTICLE
Simon Martinez1, Jürgen Lenz1, Hans Schindler1,2, Willi Wendler1, Stefan Rues3, Karl Schweizerhof1,*, Sophia Terebesi2, Nikolaos Nikitas Giannakopoulos2, Marc Schmitter2
CMES-Computer Modeling in Engineering & Sciences, Vol.129, No.3, pp. 1259-1281, 2021, DOI:10.32604/cmes.2021.017422
（This article belongs to this Special Issue: Advances in Computational Mechanics and Optimization
To celebrate the 95th birthday of Professor Karl Stark Pister)
Abstract The occlusal design plays a decisive role in the fabrication of dental restorations. Dentists and dental technicians
depend on mechanical simulations of mandibular movement that are as accurate as possible, in particular, to
produce interference-free yet chewing-efficient dental restorations. For this, kinetic data must be available, i.e.,
movements and deformations under the influence of forces and stresses. In the present study, so-called functional
data were collected from healthy volunteers to provide consistent information for proper kinetics. For the latter
purpose, biting and chewing forces, electrical muscle activity and jaw movements were registered synchronously,
and individual magnetic resonance tomograms (MRI) were… More >
Open Access
ARTICLE
Arash Mehraban1, Henry Tufo1, Stein Sture2, Richard Regueiro2,*
CMES-Computer Modeling in Engineering & Sciences, Vol.129, No.3, pp. 1283-1303, 2021, DOI:10.32604/cmes.2021.017476
（This article belongs to this Special Issue: Advances in Computational Mechanics and Optimization
To celebrate the 95th birthday of Professor Karl Stark Pister)
Abstract Higher-order displacement-based finite element methods are useful for simulating bending problems and potentially addressing mesh-locking associated with nearly-incompressible elasticity, yet are computationally expensive.
To address the computational expense, the paper presents a matrix-free, displacement-based, higher-order, hexahedral finite element implementation of compressible and nearly-compressible (ν → 0.5) linear isotropic elasticity
at small strain with p-multigrid preconditioning. The cost, solve time, and scalability of the implementation with
respect to strain energy error are investigated for polynomial order p = 1, 2, 3, 4 for compressible elasticity, and p =
2, 3, 4 for nearly-incompressible elasticity, on different number of CPU cores for… More >
Open Access
ARTICLE
Yu-Fu Ko1,* , Jiann-Wen Woody Ju2
CMES-Computer Modeling in Engineering & Sciences, Vol.129, No.3, pp. 1305-1328, 2021, DOI:10.32604/cmes.2021.017589
（This article belongs to this Special Issue: Advances in Computational Mechanics and Optimization
To celebrate the 95th birthday of Professor Karl Stark Pister)
Abstract Higher-order multiscale structures are proposed to predict the effective elastic properties of 3-phase particle reinforced composites by considering the probabilistic spherical particles spatial distribution, the particle interactions,
and utilizing homogenization with ensemble volume average approach. The matrix material, spherical particles
with radius a1, and spherical particles with radius a2, are denoted as the 0th phase, the 1st phase, and the 2nd
phase, respectively. Particularly, the two inhomogeneity phases are different particle sizes and the same elastic
material properties. Improved higher-order (in ratio of spherical particle sizes to the distance between the centers
of spherical particles) bounds on effective elastic properties… More >
Open Access
ARTICLE
Peter M. Pinsky*
CMES-Computer Modeling in Engineering & Sciences, Vol.129, No.3, pp. 1329-1350, 2021, DOI:10.32604/cmes.2021.017740
（This article belongs to this Special Issue: Advances in Computational Mechanics and Optimization
To celebrate the 95th birthday of Professor Karl Stark Pister)
Abstract A fundamental problem for cells with their fragile membranes is the control of their volume. The primordial
solution to this problem is the active transport of ions across the cell membrane to modulate the intracellular
osmotic pressure. In this work, a theoretical model of the cellular pump-leak mechanism is proposed within the
general framework of linear nonequilibrium thermodynamics. The model is expressed with phenomenological
equations that describe passive and active ionic transport across cell membranes, supplemented by an equation for
the membrane potential that accounts for the electrogenicity of the ionic pumps. For active ionic transport, the
model predicts that… More >
Open Access
ARTICLE
Ye Lu1, Hengyang Li1, Sourav Saha2, Satyajit Mojumder2, Abdullah Al Amin1, Derick Suarez1, Yingjian Liu3, Dong Qian3, Wing Kam Liu1,*
CMES-Computer Modeling in Engineering & Sciences, Vol.129, No.3, pp. 1351-1371, 2021, DOI:10.32604/cmes.2021.017719
（This article belongs to this Special Issue: Advances in Computational Mechanics and Optimization
To celebrate the 95th birthday of Professor Karl Stark Pister)
Abstract This paper presents the concept of reduced order machine learning finite element (FE) method. In particular, we propose an example of such method, the proper generalized decomposition (PGD) reduced hierarchical deeplearning neural networks (HiDeNN), called HiDeNN-PGD. We described first the HiDeNN interface seamlessly with the current commercial and open source FE codes. The proposed reduced order method can reduce significantly the degrees of freedom for machine learning and physics based modeling and is able to deal with high dimensional problems. This method is found more accurate than conventional finite element methods with a small portion of degrees of freedom. Different… More >
Open Access
ARTICLE
Matthew Wilkinson, Javier Villarreal, Andrew Meade*
CMES-Computer Modeling in Engineering & Sciences, Vol.129, No.3, pp. 1373-1393, 2021, DOI:10.32604/cmes.2021.017883
（This article belongs to this Special Issue: Advances in Computational Mechanics and Optimization
To celebrate the 95th birthday of Professor Karl Stark Pister)
Abstract A meshless and matrix-free fluid dynamics solver (SOMA) is introduced that avoids the need for user generated
and/or analyzed grids, volumes, and meshes. Incremental building of the approximation avoids creation and
inversion of possibly dense block diagonal matrices and significantly reduces user interaction. Validation results
are presented from the application of SOMA to subsonic, compressible, and turbulent flow over an adiabatic flat
plate. More >
Open Access
ARTICLE
Alexander Humer and Hans Irschik*
CMES-Computer Modeling in Engineering & Sciences, Vol.129, No.3, pp. 1395-1417, 2021, DOI:10.32604/cmes.2021.017944
（This article belongs to this Special Issue: Advances in Computational Mechanics and Optimization
To celebrate the 95th birthday of Professor Karl Stark Pister)
Abstract This paper addresses the application of the continuum mechanics-based multiplicative decomposition for thermohyperelastic materials by Lu and Pister to Reissner’s structural mechanics-based, geometrically exact theory for
finite strain plane deformations of beams, which represents a geometrically consistent non-linear extension of the
linear shear-deformable Timoshenko beam theory. First, the Lu-Pister multiplicative decomposition of the displacement gradient tensor is reviewed in a three-dimensional setting, and the importance of its main consequence is
emphasized, i.e., the fact that isothermal experiments conducted over a range of constant reference temperatures are
sufficient to identify constitutive material parameters in the stress-strain relations. We address various isothermal… More >
Open Access
ARTICLE
Yuxi Xie, Shaofan Li*
CMES-Computer Modeling in Engineering & Sciences, Vol.129, No.3, pp. 1419-1440, 2021, DOI:10.32604/cmes.2021.016756
（This article belongs to this Special Issue: Advances in Computational Mechanics and Optimization
To celebrate the 95th birthday of Professor Karl Stark Pister)
Abstract The microstructure of crystal defects, e.g., dislocation patterns, are not arbitrary, and it is possible that some of them
may be related to the microstructure of crystals itself, i.e., the lattice structure. We call those dislocation patterns or
substructures that are related to the corresponding crystal microstructure as the Geometrically Compatible Dislocation Patterns (GCDP). Based on this notion, we have developed a Multiscale Crystal Defect Dynamics (MCDD) to
model crystal plasticity without or with minimum empiricism. In this work, we employ the multiscale dislocation
pattern dynamics, i.e., MCDD, to simulate crystal plasticity in body-centered cubic (BCC) single crystals, mainly
α-phase… More >
Open Access
ARTICLE
Loc Vu-Quoc1,*, Yuhu Zhai2 and Khai D. T. Ngo3
CMES-Computer Modeling in Engineering & Sciences, Vol.129, No.3, pp. 1441-1486, 2021, DOI:10.32604/cmes.2021.016784
（This article belongs to this Special Issue: Advances in Computational Mechanics and Optimization
To celebrate the 95th birthday of Professor Karl Stark Pister)
Abstract The Generalized Falk Method (GFM) for coordinate transformation, together with two model-reduction strategies
based on this method, are presented for efficient coupled field-circuit simulations. Each model-reduction strategy
is based on a decision to retain specific linearly-independent vectors, called trial vectors, to construct a vector
basis for coordinate transformation. The reduced-order models are guaranteed to be stable and passive since the
GFM is a congruence transformation of originally symmetric positive definite systems. We also show that, unlike
the Pad´e-via-Lanczos (PVL) method, the GFM does not generate unstable positive poles while reducing the order
of circuit problems. Further, the proposed GFM is… More >
Open Access
EDITORIAL
CMES-Computer Modeling in Engineering & Sciences, Vol.129, No.3, pp. 1487-1488, 2021, DOI:10.32604/cmes.2021.019388
（This article belongs to this Special Issue: Advances in Computational Mechanics and Optimization
To celebrate the 95th birthday of Professor Karl Stark Pister)
Abstract This article has no abstract. More >
Open Access
EDITORIAL
CMES-Computer Modeling in Engineering & Sciences, Vol.129, No.3, pp. 1489-1504, 2021, DOI:10.32604/cmes.2021.019434
（This article belongs to this Special Issue: Advances in Computational Mechanics and Optimization
To celebrate the 95th birthday of Professor Karl Stark Pister)
Abstract This article has no abstract. More >
Open Access
EDITORIAL
CMES-Computer Modeling in Engineering & Sciences, Vol.129, No.3, pp. 1505-1522, 2021, DOI:10.32604/cmes.2021.019500
（This article belongs to this Special Issue: Advances in Computational Mechanics and Optimization
To celebrate the 95th birthday of Professor Karl Stark Pister)
Abstract This article has no abstract. More >
Open Access
EDITORIAL
Mark Austin, Loc Vu-Quoc
CMES-Computer Modeling in Engineering & Sciences, Vol.129, No.3, pp. 1523-1529, 2021, DOI:10.32604/cmes.2021.019683
（This article belongs to this Special Issue: Advances in Computational Mechanics and Optimization
To celebrate the 95th birthday of Professor Karl Stark Pister)
Abstract This article has no abstract. More >
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