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@ARTICLE{,
    author = {Prů{\v s}a, V{\'{\i}}t and Rajagopal, K. R.},
  keywords = {Burgers fluid, Colombeau algebra, jump coditions, stress dependent material moduli},
     title = {Jump Conditions in Stress Relaxation and Creep Experiments of Burgers Type Fluids-A Study in the Application of Colombeau Algebra of Generalized Functions},
   journal = {ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift f{\"{u}}r Angewandte Mathematik und Mechanik},
    volume = {62},
    number = {4},
      year = {2011},
     pages = {707–740},
       url = {http://dx.doi.org/10.1007/s00033-010-0109-9},
       doi = {10.1007/s00033-010-0109-9},
  abstract = {We discuss stress relaxation and creep experiments of fluids that are generalizations of the classical model due to Burgers by allowing
the material moduli such as the viscosities and relaxation and retardation times to depend on the stress. The physical problem, which is cast within the
context of one dimension, leads to an ordinary differential equation that involves nonlinear terms like product of a function with a jump discontinuity and
the derivative of a function with a jump discontinuity. As the equations are nonlinear, standard techniques that are used to study problems concerning
linear viscoelastic fluids such as Laplace transforms and the theory of distributions are not applicable. We find it necessary to seek the solution in a
more general setting. We discuss the mathematical and physical issues concerning the jump discontinuities and nonlinearity of the governing equation,
and we show that the solution to the governing equation can be found in the sense of the generalized functions introduced by Colombeau. In the
framework of Colombeau algebra we, under certain assumptions, derive jump conditions that shall be used in stress relaxation and creep experiments
of fluids of the Burgers type. We conclude the paper with a discussion of the physical relevance of these assumptions.}
}