Browsing Mathematics (Scholarly Articles) by Title

Now showing items 93-112 of 228

    • Instabilities in elastomers and soft tissues 

      Destrade, Michel (Oxford Journals, 2006-09-15)
      Biological soft tissues exhibit elastic properties that can be dramatically different from rubber-type materials (elastomers). To gain a better understanding of the role of constitutive relationships in determining material ...

    • Instability-induced pattern formations in soft magnetoactive composites 

      Goshkoderia, Artemii; Chen, Vincent; Li, Jian; Juhl, Abigail; Buskohl, Philip; Rudykh, Stephan (American Physical Society, 2020-04-14)
      Elastic instabilities can trigger dramatic microstructure transformations giving rise to unusual behavior in soft matter. Motivated by this phenomenon, we study instability-induced pattern formations in soft magnetoactive ...

    • The integral homology of PSL(2) of imaginary quadratic integers with nontrivial class group 

      Rahm, Alexander D. (2011)
      We show that a cellular complex defined by Flöge allows us to determine the integral homology of the Bianchi groups PSL(2)(O[-m]), where O[-m] is the ring of integers of an imaginary quadratic number field Q [square root ...

    • Interface waves in misoriented pre-stressed incompressible elastic solids 

      Destrade, Michel (Oxford Journals, 2004-12-17)
      Some relationships, fundamental to the resolution of interface wave problems, are presented. These equations allow for the derivation of explicit secular equations for problems involving waves localized near the plane ...

    • Introduction to the special issue on stability under finite deformation 

      Destrade, Michel; Saccomandi, Giuseppe (Oxford University Press, 2010)
      In the botanical gardens of Grenoble, France, there is small bridge, just a few metres long, made of pre-stressed concrete. The bridge dates back to 1855 and is thought to be the oldest manufactured pre-stressed structure ...

    • John Todd and the development of modern numerical analysis 

      Niall Madden (2012)
      The purpose of this article is to mark the centenary of the birth of John Todd, a pioneer in the fields of numerical analysis and computational science. A brief account is given of his early life and career, and that of ...

    • Large acoustoelastic effect 

      Destrade, Michel (Elsevier, 2012-03)
      Classical acoustoelasticity couples small-amplitude elastic wave propagation to an infinitesimal pre-deformation, in order to reveal and evaluate non-destructively third-order elasticity constants. Here, we see that ...

    • Large amplitude Love waves 

      Destrade, Michel (Oxford Journals, 2008-04-22)
      In the context of the finite elasticity theory, we consider a model for compressible solids called 'compressible neo-Hookean material'. We show how finite-amplitude inhomogeneous plane wave solutions and finite-amplitude ...

    • Lower bounds on the non-Clifford resources for quantum computations 

      Beverland, Michael; Campbell, Earl; Howard, Mark; Kliuchnikov, Vadym (IOP Publishing, 2020-05-28)
      Treating stabilizer operations as free, we establish lower bounds on the number of resource states, also known as magic states, needed to perform various quantum computing tasks. Our bounds apply to adaptive computations ...

    • Magnetic field-induced asymmetric mechanical metamaterials 

      Zhang, Quan; Cherkasov, Andrei V.; Arora, Nitesh; Hu, Gengkai; Rudykh, Stephan (Elsevier, 2023)
      We propose a magnetic field-induced asymmetric mechanical metamaterial. The tunable metamaterial integrates hard-Magnetic Active Elastomers (hMAEs) into the microstructural design combining snap-through, bi-stability, and ...

    • Magneto-deformation and transverse elastic waves in hard-magnetic soft laminates 

      Zhang, Quan; Rudykh, Stephan (Elsevier, 2022-04-28)
      We study the magneto-mechanical behavior of periodic laminates made of hard-magnetic active elastomers (HMAEs). We formulate the amended free-energy function for HMAEs, and derive an explicit expression for the induced ...

    • Magnetoactive asymmetric mechanical metamaterial for tunable elastic cloaking 

      Zhang, Quan; Hu, Gengkai; Rudykh, Stephan (Elsevier, 2024-01-08)
      We propose a magnetic field-induced asymmetric mechanical metamaterial for tunable transformation-based elastic cloaking. The metamaterial is designed by integrating hard-Magnetic Active Elastomers (hMAEs) and combining ...

    • A mathematical model for the release of peptide-binding drugs from affinity hydrogels 

      Meere, Martin G. (Palgrave, 2015-01-09)
      A mathematical model for the release of peptide-binding drugs from affinity hydrogels is analyzed in detail. The model is not specific to any particular peptide/drug/gel system, and can describe drug release from a large ...

    • A Maximal Eigenvalue Method for Detecting Process Representative Genes by Integrating Data from Multiple Sources 

      Yang, Haixuan (2008)
      An important problem in computational biology is the identification of candidate genes which can be considered as representative of the different cellular processes taking place in the cell as it evolves through time. ...

    • Measuring knife stab penetration into skin simulant using a novel biaxial tension device 

      Destrade, Michel (Elsevier, 2008)
      This paper describes the development and use of a biaxial measurement device to analyse the mechanics of knife stabbings. In medicolegal situations it is typical to describe the consequences of a stabbing incident in ...

    • Measuring the linear and nonlinear elastic properties of brain tissue with shear waves and inverse analysis 

      Jiang, Yi; Li, Guoyang; Qian, Lin-Xue; Liang, Si; Destrade, Michel; Cao, Yanping (Springer, 2015-02-20)
      We use supersonic shear wave imaging (SSI) technique to measure not only the linear but also the nonlinear elastic properties of brain matter. Here, we tested six porcine brains ex vivo and measured the velocities of the ...

    • Mechanical characterization of brain tissue in compression at dynamic strain rates 

      Destrade, Michel; Gilchrist, Michael D. (Elsevier, 2012-03-02)
      Traumatic brain injury (TBI) occurs when local mechanical load exceeds certain tolerance levels for brain tissue. Extensive research has been done previously for brain matter experiencing compression at quasistatic loading; ...

    • Mechanical characterization of brain tissue in simple shear at dynamic strain rates 

      Rashid, Badar; Destrade, Michel; Gilchrist, Michael D. (Elsevier, 2013-12)
      During severe impact conditions, brain tissue experiences a rapid and complex deformation, which can be seen as a mixture of compression, tension and shear. Diffuse axonal injury (DAI) occurs in animals and humans when ...

    • Mechanical characterization of brain tissue in tension at dynamic strain rates 

      Rashid, B,Destrade, M,Gilchrist, MD; Destrade, Michel; Gilchrist, Michael D. (Elsevier, 2012-09-10)
      Mechanical characterization of brain tissue at high loading velocities is crucial for modeling Traumatic Brain Injury (TBI). During severe impact conditions, brain tissue experiences compression, tension and shear. Limited ...

    • Mechanical instability tuning of a magnetorheological elastomer composite laminate 

      Chen, Vincent W.; Arora, Nitesh; Goshkoderia, Artemii; Willey, Carson L.; Turgut, Zafer; Buskohl, Philip R.; Rudykh, Stephan; Juhl, Abigail T. (Elsevier, 2022-12-28)
      Magnetorheological elastomers (MRE) can change their shape and properties when activated by an external magnetic field. The attractive tunable properties of this stimuli-responsive composite can be further amplified by ...