A priori estimates for the displacement and velocity vectors in the dynamical theory of linear viscoelasticity

DOI10.1007/BF00944889zbMath0544.73055MaRDI QIDQ797024

Marian Aron

Publication date: 1984

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

zbMATH Keywords

linear viscoelasticityEstimatesinitial mixed boundary value problem

Mathematics Subject Classification ID

Variational inequalities (49J40) Dynamical problems in solid mechanics (74H99) Uniqueness of solutions of dynamical problems in solid mechanics (74H25) Uniqueness of solutions of equilibrium problems in solid mechanics (74G30) Elastic materials (74B99) Materials of strain-rate type and history type, other materials with memory (including elastic materials with viscous damping, various viscoelastic materials) (74D99)

Related Items (1)

Estimates for one-dimensional dynamical solutions in nonlinear dielectrics

Cites Work

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• The elastic instability of a director rod
• On the quasi-static approximation in dynamic linear viscoelasticity
• Linear elliptic differential systems and eigenvalue problems
• On the stability of linear continuous systems
• The decay of the energy in a viscoelastic body
• On dissipation inequalities and linear viscoelasticity
• A Priori Bounds for the Displacement Problem in Viscoelasticity
• RESTRICTIONS ON RELAXATION FUNCTIONS IN LINEAR VISCOELASTICITY

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