arXiv - PHYS - Mathematical Physics最新文献_第6页

Homogenization of 2D materials in the Thomas-Fermi-von Weizsacker theory 托马斯-费米-冯-魏茨萨克理论中的二维材料均质化

arXiv - PHYS - Mathematical Physics Pub Date : 2023-12-13 DOI: arxiv-2312.08067

Saad Benjelloun, Salma Lahbabi, Abdelqoddous Moussa

引用次数: 0

A discontinuous Galerkin / cohesive zone model approach for the computational modeling of fracture in geometrically exact slender beams 用于几何精确细长梁断裂计算建模的非连续伽勒金/内聚区模型方法

arXiv - PHYS - Mathematical Physics Pub Date : 2023-12-12 DOI: arxiv-2312.07349

Sai Kubair Kota, Siddhant Kumar, Bianca Giovanardi

{"title":"A discontinuous Galerkin / cohesive zone model approach for the computational modeling of fracture in geometrically exact slender beams","authors":"Sai Kubair Kota, Siddhant Kumar, Bianca Giovanardi","doi":"arxiv-2312.07349","DOIUrl":"https://doi.org/arxiv-2312.07349","url":null,"abstract":"Slender beams are often employed as constituents in engineering materials and\u0000structures. Prior experiments on lattices of slender beams have highlighted\u0000their complex failure response, where the interplay between buckling and\u0000fracture plays a critical role. In this paper, we introduce a novel\u0000computational approach for modeling fracture in slender beams subjected to\u0000large deformations. We adopt a state-of-the-art geometrically exact Kirchhoff\u0000beam formulation to describe the finite deformations of beams in\u0000three-dimensions. We develop a discontinuous Galerkin finite element\u0000discretization of the beam governing equations, incorporating discontinuities\u0000in the position and tangent degrees of freedom at the inter-element boundaries\u0000of the finite elements. Before fracture initiation, we enforce compatibility of\u0000nodal positions and tangents weakly, via the exchange of\u0000variationally-consistent forces and moments at the interfaces between adjacent\u0000elements. At the onset of fracture, these forces and moments transition to\u0000cohesive laws modeling interface failure. We conduct a series of numerical\u0000tests to verify our computational framework against a set of benchmarks and we\u0000demonstrate its ability to capture the tensile and bending fracture modes in\u0000beams exhibiting large deformations. Finally, we present the validation of our\u0000framework against fracture experiments of dry spaghetti rods subjected to\u0000sudden relaxation of curvature.","PeriodicalId":501275,"journal":{"name":"arXiv - PHYS - Mathematical Physics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-12-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138628268","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Schrödinger evolution of a scalar field in Riemannian and pseudoRiemannian expanding metrics 标量场在黎曼和伪黎曼扩展度量中的薛定谔演化

arXiv - PHYS - Mathematical Physics Pub Date : 2023-12-12 DOI: arxiv-2312.07677

Z. Haba

引用次数: 0

$mathcal{N}=3$ conformal superspace in four dimensions 四维空间中的 $mathcal{N}=3$ 共形超空间

arXiv - PHYS - Mathematical Physics Pub Date : 2023-12-12 DOI: arxiv-2312.07242

Sergei M. Kuzenko, Emmanouil S. N. Raptakis

{"title":"$mathcal{N}=3$ conformal superspace in four dimensions","authors":"Sergei M. Kuzenko, Emmanouil S. N. Raptakis","doi":"arxiv-2312.07242","DOIUrl":"https://doi.org/arxiv-2312.07242","url":null,"abstract":"We develop a superspace formulation for ${cal N}=3$ conformal supergravity\u0000in four spacetime dimensions as a gauge theory of the superconformal group\u0000$mathsf{SU}(2,2|3)$. Upon imposing certain covariant constraints, the algebra\u0000of conformally covariant derivatives $nabla_A =\u0000(nabla_a,nabla_alpha^i,bar{nabla}_i^{dot alpha})$ is shown to be\u0000determined in terms of a single primary chiral spinor superfield, the\u0000super-Weyl spinor $W_alpha$ of dimension $+1/2$ and its conjugate. Associated\u0000with $W_alpha$ is its primary descendant $B^i{}_j$ of dimension $+2$, the\u0000super-Bach tensor, which determines the equation of motion for conformal\u0000supergravity. As an application of this construction, we present two different\u0000but equivalent action principles for ${cal N}=3$ conformal supergravity. We\u0000describe the model for linearised $mathcal{N}=3$ conformal supergravity in an\u0000arbitrary conformally flat background and demonstrate that it possesses\u0000$mathsf{U}(1)$ duality invariance. Additionally, upon degauging certain local\u0000symmetries, our superspace geometry is shown to reduce to the $mathsf{U}(3)$\u0000superspace constructed by Howe more than four decades ago. Further degauging\u0000proves to lead to a new superspace formalism, called $mathsf{SU}(3) $\u0000superspace, which can also be used to describe ${mathcal N}=3$ conformal\u0000supergravity. Our conformal superspace setting opens up the possibility to\u0000formulate the dynamics of the off-shell ${mathcal N}=3$ super Yang-Mills\u0000theory coupled to conformal supergravity.","PeriodicalId":501275,"journal":{"name":"arXiv - PHYS - Mathematical Physics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-12-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138628091","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Higher geometry in physics 物理学中的高等几何

arXiv - PHYS - Mathematical Physics Pub Date : 2023-12-12 DOI: arxiv-2312.07308

Luigi Alfonsi

引用次数: 0

The energy-stepping Monte Carlo method: an exactly symmetry-preserving, a Hamiltonian Monte Carlo method with a 100% acceptance ratio 能量步蒙特卡罗方法：一种完全保密的、接受率为 100%的哈密尔顿蒙特卡罗方法

arXiv - PHYS - Mathematical Physics Pub Date : 2023-12-12 DOI: arxiv-2312.07215

Ignacio Romero, Michael Ortiz

引用次数: 0

Ground States of Fermionic Nonlinear Schrödinger Systems with Coulomb Potential II: The $L^2$-Critical Case 具有库仑势的费米子非线性薛定谔系统的基态 II：L^2 美元临界情形

arXiv - PHYS - Mathematical Physics Pub Date : 2023-12-12 DOI: arxiv-2312.06916

Bin Chen, Yujin Guo, Shu Zhang

引用次数: 0

A robust finite strain isogeometric solid-beam element 稳健的有限应变等几何实体梁元素

arXiv - PHYS - Mathematical Physics Pub Date : 2023-12-12 DOI: arxiv-2312.07124

Abdullah Shafqat, Oliver Weeger, Bai-Xiang Xu

{"title":"A robust finite strain isogeometric solid-beam element","authors":"Abdullah Shafqat, Oliver Weeger, Bai-Xiang Xu","doi":"arxiv-2312.07124","DOIUrl":"https://doi.org/arxiv-2312.07124","url":null,"abstract":"In this work, an efficient and robust isogeometric three-dimensional\u0000solid-beam finite element is developed for large deformations and finite\u0000rotations with merely displacements as degrees of freedom. The finite strain\u0000theory and hyperelastic constitutive models are considered and B-Spline and\u0000NURBS are employed for the finite element discretization. Similar to finite\u0000elements based on Lagrange polynomials, also NURBS-based formulations are\u0000affected by the non-physical phenomena of locking, which constrains the field\u0000variables and negatively impacts the solution accuracy and deteriorates\u0000convergence behavior. To avoid this problem within the context of a Solid-Beam\u0000formulation, the Assumed Natural Strain (ANS) method is applied to alleviate\u0000membrane and transversal shear locking and the Enhanced Assumed Strain (EAS)\u0000method against Poisson thickness locking. Furthermore, the Mixed Integration\u0000Point (MIP) method is employed to make the formulation more efficient and\u0000robust. The proposed novel isogeometric solid-beam element is tested on several\u0000single-patch and multi-patch benchmark problems, and it is validated against\u0000classical solid finite elements and isoparametric solid-beam elements. The\u0000results show that the proposed formulation can alleviate the locking effects\u0000and significantly improve the performance of the isogeometric solid-beam\u0000element. With the developed element, efficient and accurate predictions of\u0000mechanical properties of lattice-based structured materials can be achieved.\u0000The proposed solid-beam element inherits both the merits of solid elements e.g.\u0000flexible boundary conditions and of the beam elements i.e. higher computational\u0000efficiency.","PeriodicalId":501275,"journal":{"name":"arXiv - PHYS - Mathematical Physics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-12-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138632730","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Inflationary scenarios in an effective polynomial affine model of gravity 有效多项式仿射引力模型中的通胀情景

arXiv - PHYS - Mathematical Physics Pub Date : 2023-12-12 DOI: arxiv-2312.07312

Oscar Castillo-Felisola, Bastian Grez, Jose Perdiguero, Aureliano Skirzewski

引用次数: 0

Holographic Screen Sequestration 全息屏幕封存

arXiv - PHYS - Mathematical Physics Pub Date : 2023-12-11 DOI: arxiv-2312.06750

Aidan Chatwin-Davies, Pompey Leung, Grant N. Remmen

引用次数: 0