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A semi-infinite crack loaded by a general asymmetric system of forces in an infinite bi-material plane is considered. A boundary integral formulation is derived using the fundamental reciprocal identity (Betti formula). The resulting…

Mathematical Physics · Physics 2017-05-23 Adam Vellender

Fatigue crack growth is decisive for the design of thin-walled structures such as fuselage shells of air planes. The cold rolling process, used to produce the aluminium sheets this structure is made of, leads to anisotropic mechanical…

Materials Science · Physics 2023-08-03 Martha Kalina , Vanessa Schöne , Boris Spak , Florian Paysan , Eric Breitbarth , Markus Kästner

To go beyond the simple model for the fold as two flexible surfaces or faces linked by a crease that behaves as an elastic hinge, we carefully shape and anneal a crease within a polymer sheet and study its mechanical response. First, we…

Soft Condensed Matter · Physics 2018-08-16 Théo Jules , Frédéric Lechenault , Mokhtar Adda-Bedia

Tall buildings are often subjected to steady and unsteady forces due to external wind flows. Measurement and mitigation of these forces becomes critical to structural design in engineering applications. Over the last few decades, many…

The analogy between frictional cracks, propagating along interfaces in frictional contact, and ordinary cracks in bulk materials is important in various fields. We consider a stress-controlled frictional crack propagating at a velocity…

Materials Science · Physics 2025-04-08 Efim A. Brener , Eran Bouchbinder

Smooth time dependent supergravity solutions corresponding to analytic continuations of Kerr black holes are constructed and limits with a local de Sitter phase are found. These solutions are non-singular due to a helical twist in space and…

High Energy Physics - Theory · Physics 2009-11-10 John E. Wang

The rotation induced inhomogeneous problem is non-trivial and inevitable. In this paper a generic framework is developed to investigate the inhomogeneous condensate in a system of fermions under the presence of rotation. It is a…

Nuclear Theory · Physics 2019-09-11 Lingxiao Wang , Yin Jiang , Lianyi He , Pengfei Zhuang

We investigate the optical and quantum mechanical properties of a charged spinless particle confined in a two-dimensional quantum ring under the simultaneous influence of a spiral dislocation and an external magnetic field. The dislocation…

Mesoscale and Nanoscale Physics · Physics 2025-07-01 Hassan Hassanabadi , Kangxian Guo , Liangliang Lu , Edilberto O. Silva

Dissipated energy, representing a monotonically increasing state variable in nonlinear fracture mechanics, can be used as a restraint for tracing the dissipation instead of the elastic unloading path of the structure response. In this work,…

Computational Engineering, Finance, and Science · Computer Science 2020-07-27 Yiming Zhang , Junguang Huang , Yong Yuan , Herbert Mang

The buckling behavior of cylindrical shells has gained significant interest over the past century due to its rich nonlinear behavior and broad engineering applications. While the buckling of cylindrical shells under a single load (e.g.,…

Pattern Formation and Solitons · Physics 2025-04-01 Lu Lu , Sophie Leanza , Yang Liu , Ruike Renee Zhao

This work introduces a methodology for the calculation of the load distribution in four-point contact slewing bearings considering ball preload, manufacturing errors and ring flexibility. The model is built by the formulation and…

Systems and Control · Electrical Eng. & Systems 2024-11-06 Iker Heras , Josu Aguirrebeitia , Mikel Abasolo , Ibai Coria , Inigo Escanciano

We address analytically and numerically the problem of crack path prediction in the model system of a crack propagating under thermal loading. We show that one can explain the instability from a straight to a wavy crack propagation by using…

Materials Science · Physics 2009-09-01 F. Corson , M. Adda-Bedia , H. Henry , E. Katzav

We propose inverse problems of crack propagation using the phase-field models. First, we study the crack propagation in an inhomogeneous media in which fracture toughness varies in space. Using the two phase-field models based on different…

Analysis of PDEs · Mathematics 2023-04-26 Yueyuan Gao , Natsuhiko Yoshinaga

The three dimensional harmonic oscillator model including a cranking term is used for an energy variational calculation. Energy minima are found under variation of the three oscillator frequencies determining the shape of the system for…

Nuclear Theory · Physics 2009-11-07 W. D. Heiss , R. G. Nazmitdinov

We consider a disk-shaped thin elastic sheet bonded to a compliant sphere. (Our sheet can slip along the sphere; the bonding controls only its normal displacement.) If the bonding is stiff (but not too stiff), the geometry of the sphere…

Analysis of PDEs · Mathematics 2017-04-12 Peter Bella , Robert V. Kohn

We study a crack lying along an imperfect interface in an anisotropic bimaterial. A method is devised where known weight functions for the perfect interface problem are used to obtain singular integral equations relating the tractions and…

Mathematical Physics · Physics 2014-11-26 Lewis Pryce , Adam Vellender , Alexander Zagnetko

We investigate the deformation of a longitudinally stretched rectangular sheet which is clamped at two opposite boundaries and free otherwise with experiments, numerical analysis and asymptotic analysis of the biharmonic elastic equation…

Soft Condensed Matter · Physics 2018-07-31 Chopin Julien , Panaitescu Andreea , Kudrolli Arshad

In this study, a partially submerged vertical cylinder is moved at constant velocity through water, which is initially at rest. During the motion, the wake behind the cylinder induces free-surface deformation. Eleven cylinders, with…

Fluid Dynamics · Physics 2025-05-13 Valentin Ageorges , Jorge Peixinho , Gaële Perret

The use of the interaction integral to compute stress intensity factors around a crack tip requires selecting an auxiliary field and a material variation field. We formulate a family of these fields accounting for the curvilinear nature of…

Numerical Analysis · Mathematics 2015-01-16 Maurizio M. Chiaramonte , Yongxing Shen , Leon M. Keer , Adrian J. Lew

In mechanical engineering W\"ohler plots serve to measure the average number of load cycles before materials break, as a function of the maximal stress in each cycle. Although such plots are prevalent in engineering for more than 150 years,…

Soft Condensed Matter · Physics 2022-01-10 Bhanu Prasad Bhowmik , H. G. E. Hentschel , Itamar Procaccia
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