By Alphonsus V. Pocius

ISBN-10: 3446427481

ISBN-13: 9783446427488

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6 Introduction to Linear Viscoelasticity Many of the materials used as adhesives are polymers or they are monomers that become polymers during the cure or “setting” of the adhesive. , they behave both as a viscous liquid as well as an elastic solid. The strength and performance of adhesives is heavily dependent upon the viscoelastic response of such polymers. Consider the effect of a sinusoidal stress applied to a Hookean or elastic solid. 17) where (t) is the time-dependent stress, t is the time and  the angular frequency in radians per second of the applied stress.

7 Drawing of a “dashpot”. The dotted area is to indicate a liquid. The gray surface is meant to indicate a piston. Application of a force causes the liquid to move past the piston 27 2 The Mechanical Properties of Materials as They Relate to Adhesion is a liquid and a shear stress is applied, we find that the liquid does not resist deformation when the shear stress is constant. Rather, the liquid shows a resistance to deformation when the shear strain rate is varied. 15) δ δt where  is defined as the viscosity of the fluid material.

9. s0 is the amplitude of the stress. 20) The amount of energy that is absorbed per cycle of the sinusoidal stress can be calculated by integrating the instantaneous rate of energy absorption over the entire cycle. 21) δt The calculation is done in a step-wise fashion to determine the energy absorbed in each portion of the cycle. 9 is divided into four time periods, T/4, where T is the period of the cycle. In angular frequency, a full period is 2 π radians. 6 Introduction to Linear Viscoelasticity Integration is carried out over all four parts of the cycle.

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