Article
Physics, Fluids & Plasmas
Oran Szachter, Eytan Katzav, Mokhtar Adda-Bedia, Michael Moshe
Summary: The stress function method in elasticity theory is a powerful tool for analyzing physical systems. However, it has limitations in dealing with nonlinear elasticity. This paper develops a formalism for nonlinear stress functions, allowing for better analysis of nonlinear deformation.
Article
Multidisciplinary Sciences
Jonathan Keelan, James P. Hague
Summary: The study found that considering the full complexity of arterial trees is essential for determining the fundamental properties of vasculatures. Optimization-based arterial growth algorithms are stable against uncertainties in physiological parameters, while optimal bifurcation exponents are affected by the complexity of vascular networks and the boundary conditions dictated by organs.
SCIENTIFIC REPORTS
(2021)
Article
Mathematics, Interdisciplinary Applications
Yao Pengfei
Summary: The optimal exponents of thickness in the geometry rigidity inequality of shells indicate the geometry rigidity of the shells. Lower bounds of the optimal exponents for hyperbolic, parabolic, and elliptic shells are found to be 4/3, 3/2, and 1 respectively through the construction of Ansatze.
JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY
(2021)
Article
Mathematics, Applied
Bennett Palmer, Alvaro Pampano
Summary: We investigate equilibrium configurations for surface energies involving the squared L-2 norm of the difference between mean curvature H and spontaneous curvature c(o), coupled with the elastic energy of the boundary curve. Our study reveals that if a critical surface for this type of functional is axially symmetric, it satisfies a simpler second-order variational problem. Numerous examples of solutions are provided.
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS
(2022)
Article
Chemistry, Physical
Eric D. Hermes, Khachik Sargsyan, Habib N. Najm, Judit Zador
Summary: This paper presents a new algorithm for optimizing molecular structures to saddle points on the potential energy surface using a redundant internal coordinate system. The algorithm automates the process of defining the internal coordinate system and supports constrained optimization. It achieves efficiency and robustness through iterative diagonalization of the Hessian matrix for determining the reaction coordinate direction.
JOURNAL OF CHEMICAL THEORY AND COMPUTATION
(2022)
Article
Energy & Fuels
Hisham Alghamdi, Chika Maduabuchi, Kingsley Okoli, Abdullah Albaker, Ibrahim Alatawi, Ahmed S. S. Alsafran, Mohammad Alkhedher, Wei-Hsin Chen
Summary: This study pioneers the integration of TEGs and PV modules within hybrid systems and employs neural networks to analyze the intricate interdependencies among parameters. The results show a remarkable improvement in power output and efficiency, highlighting the transformative potential of integrated TEGs and PV modules and the importance of parameter optimization.
INTERNATIONAL JOURNAL OF ENERGY RESEARCH
(2023)
Article
Computer Science, Interdisciplinary Applications
Gergely Molnar, Nawfal Blal
Summary: This paper presents a novel method based on the Cosserat theory to optimize the topology of slender beam-made metamaterials. It compares the optimal topology of discrete Euler-Bernoulli beam lattices with counterparts obtained using the homogenized Cosserat theory. The paper highlights the importance of second-order models for slender lattice structures and demonstrates the excellent quantitative agreement between continuum Cosserat and discrete beam results.
COMPUTERS & STRUCTURES
(2023)
Article
Computer Science, Software Engineering
Caigui Jiang, Chengcheng Tang, Hans-Peter Seidel, Renjie Chen, Peter Wonka
Summary: This paper presents two main ideas to improve truss design: an alternating linear programming problem for geometry optimization, and two sets of complementary topological operations. These ideas form an efficient computational framework for designing lightweight trusses, achieving smaller volumes and faster results compared to recent approaches.
COMPUTER-AIDED DESIGN
(2021)
Article
Engineering, Mechanical
Deepak Kumar Pokkalla, Zhenpei Wang, Jee Chin Teoh, Leong Hien Poh, Chwee Teck Lim, Ser Tong Quek
Summary: An optimization framework was developed to design soft missing rib structures with controllable negative Poisson's ratios over large strains using isogeometric analysis and a genetic algorithm. The optimized design, fabricated using a biocompatible material, achieved deformation behavior similar to that of cat's skin, demonstrating its potential for biomedical applications.
JOURNAL OF ENGINEERING MECHANICS
(2022)
Article
Multidisciplinary Sciences
Marcelo Epstein
Summary: The paper presents a mathematical framework for characterizing the uniformity and homogeneity of binary elastic composites, suggesting the incorporation of material groupoids of individual constituents within a single double groupoid for a unified formulation.
Article
Engineering, Electrical & Electronic
Tuomas Tiainen, Sampo Laine, Raine Viitala
Summary: This paper investigates the compensation of dynamic geometry errors in steel rolls and proposes a feasible optimization process. By measuring dynamic geometry, grinding opposite geometry, and minimizing the target function of roundness errors in cross-section, roundness errors related to dynamic geometry can be eliminated. This is of significant importance for roll manufacturing.
Review
Chemistry, Multidisciplinary
Yanchao Wang, Jian Lv, Pengyue Gao, Yanming Ma
Summary: Crystal structure prediction (CSP) has become a major research theme in various scientific disciplines. Considerable progress has been made in CSP algorithm development, leading to methodological advances and successful applications. Computational research plays a leading role in finding novel material forms and properties, guiding experimental synthesis and characterization. This Account provides a concise summary of CSP methods, with a focus on the exploration of the potential energy surface (PES) and its impact. The CALYPSO method is used as a case study to highlight the current status and effective strategies in CSP methodology.
ACCOUNTS OF CHEMICAL RESEARCH
(2022)
Article
Mathematics
Peng-Fei Yao
Summary: This article analyzes the solvability of linear strain equations on several non-characteristic regions in detail to obtain L-2 regularity solutions. The rigidity results on the strain tensor of the middle surface are implied by the L-2 regularity for non-characteristic regions. Finally, the optimal constant in the first Korn inequality is shown to scale like h(4/3) for hyperbolic shells, extending the assumption in the literature that the middle surface of the shell is given by a single principal system.
JOURNAL OF FUNCTIONAL ANALYSIS
(2021)
Article
Computer Science, Software Engineering
Alejandro Rodriguez, Gabriel Cirio
Summary: Seams in garments are crucial for their overall appearance and performance. However, existing 3D CAD tools often overlook the visual and mechanical complexity of seams, limiting the fidelity of digital garments. This paper presents a method that models seams based on their real-life construction, improving the visual appearance of digital garments.
ACM TRANSACTIONS ON GRAPHICS
(2022)
Article
Robotics
Zherong Pan, Min Liu, Xifeng Gao, Dinesh Manocha
Summary: This research presents an algorithm for computing planar linkage topology and geometry based on a user-specified end-effector trajectory. The algorithm has applications in designing low-cost, modular robots and foldable structures, and provides a semi-automatic method for exploring novel designs given high-level specifications and constraints.
INTERNATIONAL JOURNAL OF ROBOTICS RESEARCH
(2023)
Article
Multidisciplinary Sciences
P. Paoletti, G. W. Jones, L. Mahadevan
JOURNAL OF THE ROYAL SOCIETY INTERFACE
(2017)
Article
Chemistry, Multidisciplinary
Gareth W. Jones, Dario Andres Bahamon, Antonio H. Castro Neto, Vitor M. Pereira
Article
Biophysics
Gareth Wyn Jones, S. Jonathan Chapman
BIOMECHANICS AND MODELING IN MECHANOBIOLOGY
(2010)
Article
Biology
Simon P. Pearce, Matthias Heil, Oliver E. Jensen, Gareth Wyn Jones, Andreas Prokop
BULLETIN OF MATHEMATICAL BIOLOGY
(2018)
Article
Materials Science, Multidisciplinary
James MacLaurin, Jon Chapman, Gareth Wyn Jones, Tiina Roose
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS
(2013)
Article
Biology
R. J. Shipley, G. W. Jones, R. J. Dyson, B. G. Sengers, C. L. Bailey, C. J. Catt, C. P. Please, J. Malda
JOURNAL OF THEORETICAL BIOLOGY
(2009)
Article
Physics, Multidisciplinary
Gareth W. Jones, Vitor M. Pereira
NEW JOURNAL OF PHYSICS
(2014)
Article
Multidisciplinary Sciences
James MacLaurin, Jon Chapman, Gareth Wyn Jones, Tiina Roose
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES
(2012)
Article
Multidisciplinary Sciences
Gareth Wyn Jones, L. Mahadevan
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES
(2013)
Article
Mathematics, Applied
G. W. Jones, S. J. Chapman, D. J. Allwright
QUARTERLY JOURNAL OF MECHANICS AND APPLIED MATHEMATICS
(2008)
Article
Mathematics, Applied
G. W. Jones, S. J. Chapman, D. J. Allwright
SIAM JOURNAL ON APPLIED MATHEMATICS
(2009)
Article
Mathematics, Applied
Gareth Wyn Jones, S. Jonathan Chapman
Article
Multidisciplinary Sciences
Alexander Erlich, Gareth W. Jones, Francoise Tisseur, Derek E. Moulton, Alain Goriely
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES
(2020)
Article
Mechanics
Gareth Wyn Jones, Michael J. A. Smith, Maria Thorpe, I. David Abrahams, William J. Parnell
Summary: The passage discusses the study of the buckling of a thin spherical shell embedded in a soft medium, focusing on the compression of syntactic foam composites. The critical buckling pressures are determined in practical scenarios of hydrostatic and uniaxial compressive loading states. Different results are obtained when considering the thin-stiff shell limit compared to the standard thin-shell limit, where the shell and matrix have stiffnesses of the same order.
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES
(2022)