A novel boundary element approach to time-harmonic dynamics of incremental nonlinear elasticity: the role of pre-stress on structural vibrations and dynamic shear banding
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Publication:1033297
DOI10.1016/j.cma.2007.04.013zbMath1173.74455OpenAlexW2142331472MaRDI QIDQ1033297
P. Bonetti, Davide Bigoni, Sergia Colli, Domenico Capuani
Publication date: 6 November 2009
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cma.2007.04.013
Nonlinear elasticity (74B20) Vibrations in dynamical problems in solid mechanics (74H45) Boundary element methods applied to problems in solid mechanics (74S15)
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Cites Work
- Dynamic BE analysis of 3-D cracks in transversely isotropic solids
- On stable deformation of unstable materials in a rigid triaxial testing machine
- Dynamic response of lined tunnels by an isoparametric boundary element method
- Integral kernels in the 2D Somigliana displacement and stress identities for anisotropic materials
- Static and dynamic boundary element analysis in incompressible linear elasticity
- Stability and vibration of pre-stressed compressible elastic plates
- A new formula for the \(C\)-matrix in the Somigliana identity
- Vibration and stability of an elastic column subject to a generalized load
- A boundary element technique for incremental, nonlinear elasticity. I: Formulation.
- A boundary element technique for incremental, nonlinear elasticity. II: Bifurcation and shear bands.
- Nonlinear isolator dynamics at finite deformations: an effective hyperelastic, fractional derivative, generalized friction model
- A boundary element method for transient piezoelectric analysis
- Green's function for incremental nonlinear elasticity: shear bands and boundary integral formulation
- Effects of pre-stress on crack-tip fields in elastic, incompressible solids.
- Non-reflecting artificial boundaries for modelling scalar wave propagation problems in two-dimensional half-space.
- Time-harmonic Green's function and boundary integral formulation for incremental nonlinear elasticity: dynamics of wave patterns and shear bands
- A direct formulation and numerical solution of the general transient elastodynamic problem I
- 2-D time-harmonic BEM for solids of general anisotropy with application to eigenvalue problems
- Interfacial waves and deformations in pre-stressed elastic media
- On Surface Waves and Deformations in a Pre-stressed Incompressible Elastic Solid
- Vibrations of an initially stressed thick plate
- Effective numerical treatment of boundary integral equations: A formulation for three‐dimensional elastostatics
- Thermoelastic Small-Amplitude Wave Propagation in Nonlinear Elastic Multilayers
- ON STABILITY OF HOMOGENEOUS ELASTIC BODIES UNDER BOUNDARY CONDITIONS WEAKER THAN DISPLACEMENT CONDITIONS
- Computation of thermal stresses in quasistatic non‐stationary thermoelasticity using boundary elements
- On interfacial waves in pre-stressed layered incompressible elastic solids
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