Classification of linear viscoelastic solids based on a failure criterion
DOI10.1007/BF00041080zbMath0528.73038OpenAlexW1977739562MaRDI QIDQ786574
Daniel D. Joseph, Amitabh Narain
Publication date: 1984
Published in: Journal of Elasticity (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf00041080
stress wavesreflectionsfailure criterionkernel functionsboundary of support of solution propagates at constant wave speeddiffusion-like smoothening of discontinuous data characteristic of parabolic equationsdiscontinuity in displacement propagates into interior of bodydiscontinuity not propagate if G(0)=infinity or G'(0)=-infinitydiscontinuous shearing displacementsG(0)=infinity achieved by composing kernel as sum of smooth kernel and delta function at originisotropic, incompressible linear viscoelastic solidmaterial not fail under step displacementrelaxation function G(s)solution is C-infinity smoothstep shear displacementstep-traction data
Fracture and damage (74R99) Linear constitutive equations for materials with memory (74D05) Nonlinear constitutive equations for materials with memory (74D10) Materials of strain-rate type and history type, other materials with memory (including elastic materials with viscous damping, various viscoelastic materials) (74D99)
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Cites Work
- The Hertz problem for a rigid spherical indenter and a viscoelastic half- space
- Fading memory
- Free surface problems induced by motions perturbing the natural state of simple solids
- Foundations of Linear Viscoelasticity
- Some remarks on the propagation and non-propagation of discontinuities in linearly viscoelastic liquids
- Linearized dynamics for step jumps of velocity and displacement of shearing flows of a simple fluid
- A Correspondence Principle for Free Vibrations of a Viscoelastic Solid
