Paper Search Console

Home Search Page About Contact

Journal Title

Title of Journal: Acta Mech

Search In Journal Title:

Abbravation: Acta Mechanica

Search In Journal Abbravation:

Publisher

Springer-Verlag

Search In Publisher:

DOI

10.1002/esp.1744

Search In DOI:

ISSN

1619-6937

Search In ISSN:
Search In Title Of Papers:

On the uniqueness of solutions for the Dirichlet b

Authors: A Rohe F Molenkamp W T Van Horssen
Publish Date: 2007/10/30
Volume: 197, Issue: 1-2, Pages: 43-
PDF Link

Abstract

The uniqueness and mathematical stability of the Dirichlet boundary value problem of linear elastostatics is studied The problem is posed as a set of partial differential equations in terms of displacements and Dirichlettype of boundary conditions displacements for arbitrary bounded domains Then for the circular interior domain the closed form analytical solution is obtained using an extended version of the method of separation of variables This method with corresponding complete solution allows for the derivation of a necessary and sufficient condition for uniqueness The results are compared with existing energy and uniqueness criteria A parametric study of the elastic characteristics is performed to investigate the behaviour of the displacement field and the strain energy distribution and to examine the mathematical stability of the solution It is found that the solution for the circular element with hourglasslike boundary conditions will be unique for all v ≠ 05 075 10 and will be mathematically stable for all v ≠ 075 Locking of the circular element occurs for v = 075 as the energy tends to infinity

Keywords:

References

.
Search In Abstract Of Papers:
Other Papers In This Journal:
  1. Design optimization for truss structures under elasto-plastic loading condition
  2. Model verification of Lode’s test results and yield function of isotropic FCC polycrystal
  3. Atomistic simulation of free transverse vibration of graphene, hexagonal SiC, and BN nanosheets
  4. Boundary value problems for anisotropic plates with internal line hinges
  5. Phase field modeling of flexoelectric effects in ferroelectric epitaxial thin films
  6. Analysis of mode III crack perpendicular to the interface between two dissimilar strips
  7. Application of the differential transformation method to the solutions of Falkner-Skan wedge flow
  8. Energetics and conserved quantity of an axially moving string undergoing three-dimensional nonlinear vibration
  9. A family of bi-potentials describing the non-associated flow rule of pressure-dependent plastic models
  10. Strain gradient elasto-plasticity with a new Taylor-based yield function
  11. A new efficient higher-order shear deformation theory for a doubly curved laminated composite shell
  12. Collective buckling of an elastic beam array on an elastic substrate for applications in soft lithography
  13. Optimal design of a multilayered piezoelectric transducer based on a special unit cell homogenization method
  14. On the simple and mixed first-order theories for plates resting on elastic foundations
  15. Dynamics and stability of a functionally graded cylindrical thin shell containing swirling annular fluid flow including initial axial loads
  16. A kind of noise-induced transition to noisy chaos in stochastically perturbed dynamical system
  17. High-order subharmonic parametric resonance of multiple nonlinearly coupled micromechanical nonlinear oscillators
  18. On the decay of solutions for the heat conduction with two temperatures
  19. Steady thermocapillary-buoyant convection in a shallow annular pool. Part 1: Single layer fluid
  20. The wave and vibratory power transmission in a finite L-shaped Mindlin plate with two simply supported opposite edges
  21. The study on the mechanical characteristics of articular cartilage in simulated microgravity
  22. Application of Trefftz BEM to anti-plane piezoelectric problem
  23. On the stability of a cylindrical liquid bridge
  24. Dynamic responses of a pile embedded in a layered poroelastic half-space to a harmonic axial loading
  25. Interactions between N circular cylindrical inclusions in a piezoelectric matrix
  26. Stresses due to an adhesion crack in T-shaped junction of two orthotropic plates
  27. The scattering of the SH wave on a limited permeable crack in a functionally graded piezoelectric substrate bonded to a homogeneous piezoelectric strip
  28. Indentation of elastically soft and plastically compressible solids
  29. Magnetomechanical behaviors of giant magnetostrictive materials
  30. Cell size effects for vibration analysis and design of sandwich beams
  31. Asymmetric thermo-inertial buckling of annular plates
  32. Nanoparticle nucleation and coagulation in a mixing layer
  33. A quasi-exact yield criterion for anisotropic porous ductile sheet metals
  34. A conformal invariance for generalized Birkhoff equations
  35. Modeling of high- k dielectric nanocomposites
  36. A consistent projection-based SUPG/PSPG XFEM for incompressible two-phase flows
  37. Vertex solution theorem for the upper and lower bounds on the dynamic response of structures with uncertain-but-bounded parameters
  38. Bi-variable damage model for fatigue life prediction of metal components
  39. Elastohydrodynamic lubrication modeling for materials with multiple cracks
  40. Mechanics of damage processes in series and in parallel: a conceptual framework
  41. Investigation of scale effect for the computation of turbulent flow around a circular cylinder
  42. A general method of fractional dynamics, i.e., fractional Jacobi last multiplier method, and its applications
  43. Some elasticity problems of a general anisotropic solid subjected to anti-plane loadings
  44. Axisymmetric bending of two-directional functionally graded circular and annular plates
  45. Effect of gas stream swirls on the instability of viscous annular liquid jets
  46. Elastic properties of hybrid graphene/boron nitride monolayer
  47. The investigation of the nonlocal longitudinal stress waves with modified couple stress theory
  48. Study on relative orbital configuration in satellite formation flying
  49. Steady-state responses of a belt-drive dynamical system under dual excitations
  50. Instance of hidden instability traps in intermittent transition of moving masses along a flexible beam
  51. Parametric study of the dynamic response of thin rectangular plates traversed by a moving mass
  52. A review on the mechanical methods for evaluating coating adhesion
  53. Investigation on 3D t wake flow structures of swimming bionic fish
  54. Magnetohydrodynamics instability of interfacial waves between two immiscible incompressible cylindrical fluids
  55. The general type of finite-part singular integrals and integral equations with logarithmic singularities used in fracture mechanics
  56. Progressive damage arrest mechanism in tailored laminated plates with a cutout
  57. Free vibration analysis of variable thickness thin plates by two-dimensional differential transform method
  58. Scattering of torsional waves by a spherical cavity in a long circular elastic cylinder
  59. Analytical and numerical studies on a single-droplet evaporation and combustion under forced convection
  60. Effects of fluid recirculation on mass transfer from the arterial surface to flowing blood
  61. Free and forced vibration nonlinear analysis of a microbeam using finite strain and velocity gradients theory
  62. Electro-elastic stress analysis for a screw dislocation interacting with a coated inclusion in piezoelectric solid
  63. Macropterons, micropterons and similarity reductions for the regularized Ostrovsky-Grimshaw model for fluids and plasmas with symbolic computation
  64. LES prediction of space-time correlations in turbulent shear flows
  65. A general network theory for the development of curing stresses in an epoxy/fiber composite
  66. Attitude dynamics of a cylinder floating in immiscible fluids
  67. A novel updated Lagrangian complementary energy-based formulation for the elastica problem: force-based finite element model
  68. Onset of Taylor-Görtler instability in accelerated circular Couette flow
  69. Damping computation of liquid sloshing with small amplitude in rigid container using FEM
  70. Nonlinear equations for a thin beam
  71. Effect of quadratic pressure gradient term on a one-dimensional moving boundary problem based on modified Darcy’s law
  72. Micropolar plasticity theories and their classical limits. Part I: Resulting model
  73. A simple and accurate beam theory
Search Result: