ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik

Cover image for Vol. 93 Issue 1

January 2013

Volume 93, Issue 1

Pages 1–82

  1. Cover Picture

    1. Top of page
    2. Cover Picture
    3. Issue Information
    4. Contents
    5. Editorial
    6. Editor's Choice
    7. Original Papers
    1. You have free access to this content
      Cover Picture: ZAMM 1 / 2013

      Version of Record online: 3 JAN 2013 | DOI: 10.1002/zamm.201390000

  2. Issue Information

    1. Top of page
    2. Cover Picture
    3. Issue Information
    4. Contents
    5. Editorial
    6. Editor's Choice
    7. Original Papers
    1. You have free access to this content
      Issue Information: ZAMM 1 / 2013

      Version of Record online: 3 JAN 2013 | DOI: 10.1002/zamm.201390001

  3. Contents

    1. Top of page
    2. Cover Picture
    3. Issue Information
    4. Contents
    5. Editorial
    6. Editor's Choice
    7. Original Papers
    1. You have free access to this content
      Contents: ZAMM 1 sol; 2013 (pages 1–2)

      Version of Record online: 3 JAN 2013 | DOI: 10.1002/zamm.201309301

  4. Editorial

    1. Top of page
    2. Cover Picture
    3. Issue Information
    4. Contents
    5. Editorial
    6. Editor's Choice
    7. Original Papers
    1. You have free access to this content
      Editorial: ZAMM 1 / 2013 (page 3)

      H. Altenbach

      Version of Record online: 3 JAN 2013 | DOI: 10.1002/zamm.201309333

  5. Editor's Choice

    1. Top of page
    2. Cover Picture
    3. Issue Information
    4. Contents
    5. Editorial
    6. Editor's Choice
    7. Original Papers
    1. You have free access to this content
      Microstructure and effective behavior of materials (pages 4–13)

      G. Dolzmann

      Version of Record online: 21 NOV 2012 | DOI: 10.1002/zamm.201200128

      Thumbnail image of graphical abstract

      Tailor-made materials often take advantage of surprising material behavior which is related to special effects and structures on small length scales. In order to achieve the design goals, a precise understanding of the underlying mechanisms in a mathematical model is indispensable. This contribution presents modern methods in the calculus of variations which are available for the analysis and numerical simulation of systems with multiple scales and illustrates their use in two characteristic model examples.

  6. Original Papers

    1. Top of page
    2. Cover Picture
    3. Issue Information
    4. Contents
    5. Editorial
    6. Editor's Choice
    7. Original Papers
    1. Numerical algorithm based on an implicit fully discrete local discontinuous Galerkin method for the time-fractional KdV-Burgers-Kuramoto equation (pages 14–28)

      L. Wei, Y. He, A. Yildirim and S. Kumar

      Version of Record online: 13 AUG 2012 | DOI: 10.1002/zamm.201200003

      An implicit fully discrete local discontinuous Galerkin (LDG) finite element method is considered for solving the time-fractional KdV-Burgers-Kuramoto (KBK) equation. The scheme is based on a finite difference method in time and local discontinuous Galerkin methods in space. The authors prove that their scheme is unconditional stable and L2 error estimate for the linear case with the convergence rate O(hk+1 + (Δ t)2+ (Δ t)α/2hk+equation image). Numerical examples are presented to show the efficiency and accuracy of this scheme.

    2. Sharp conditions of global existence for second-order derivative nonlinear Schrödinger equations with combined power-type nonlinearities (pages 29–37)

      Runzhang Xu and Chuang Xu

      Version of Record online: 22 OCT 2012 | DOI: 10.1002/zamm.201200083

      The authors undertake a comprehensive study of the Cauchy problem of a class of second-order derivative nonlinear Schrödinger equations with combined power-type nonlinearities. Using the potential theory and the concavity method, they construct a variational problem and two invariant manifolds. Furthermore, they give sharp conditions of global existence and blowup.

    3. Unsteady magnetohydrodynamic free convection flow past an accelerated vertical plate with constant heat flux and heat generation or absorption (pages 38–49)

      M. Narahari and L. Debnath

      Version of Record online: 24 SEP 2012 | DOI: 10.1002/zamm.201200008

      The unsteady free convection flow of an electrically conducting fluid past an accelerated infinite vertical plate with constant heat flux is investigated under the influence of uniform transverse magnetic field fixed relative to the fluid or to the plate in the presence of heat generation or absorption. Two important cases, (i) exponentially accelerated plate (EAP) and (ii) uniformly accelerated plate (UAP), have been considered. The solution of the problem involves inverse Laplace transforms of some new exponential forms and these formulas are provided.

    4. DNA elastic nonlinearities as multiple smooth combinations of soft and hard linear springs (pages 50–56)

      H. Xiao

      Version of Record online: 13 AUG 2012 | DOI: 10.1002/zamm.201200093

      DNA molecules perform biological functions via large elastic deformations and conformational changes in courses of their interactions with the cellular machinery. Adequate characterization of DNA elasticity is accordingly essential to an in-depth understanding of DNA functions. The presented formula reveals for the first time a complete set of characteristic constants for DNA elasticity and is shown to provide a unified characterization for both double- single-stranded DNA molecules. Results are presented in a straightforward, broad sense independent of any substructural details.

    5. On Cosserat–Bingham fluids (pages 57–72)

      V.V. Shelukhin and M. Ružička

      Version of Record online: 24 SEP 2012 | DOI: 10.1002/zamm.201200037

      The authors formulate constitutive laws for micro-polar visco-plastic fluids which support yield stresses. The material is shown to be a generalization of Bingham and Herschel–Bulkley fluids in which local micro-rotations are taken into account. In contrast to the classical visco-plastic fluids, micro-polar visco-plastic fluids support two types of plug zones. To illustrate the derived equations, we consider a pressure driven flow between two parallel planes.

    6. A novel method for the solution of the forward displacement problem of spherical parallel manipulators (pages 73–82)

      J. Rodriguez and M. Ruggiu

      Version of Record online: 22 OCT 2012 | DOI: 10.1002/zamm.201200059

      A novel method that solves the Forward displacement problem (FDP) of several common spherical parallel manipulators (SPMs) is presented. A case study is solved for a specific SPM, which satisfies certain geometric conditions, having 3 - R(E)R architecture, with R denoting a revolute joint, E a planar motion generator and underlines indicating the actuated joint. In this case, the solutions of the system are obtained analytically by a symbolic method exploiting symmetries.

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