Summary Beamtheorypapers

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1. Kanninen 1971He developed an analytical model for a double cantilever beam on a Winkler foundation to obtain the relationship between end-displacement, load at the end, crack length and beam geometry. He then computed the stress intensity factors to show the effect of crack length on the results for stable crack propagation. For dynamic crack propagation, he proposed a simple functional form of the energy release rate depending only on crack speed and computed crack speeds in presence or absence of end effects to show that they may not always be negligible in comparison to the wave speeds in a material.2. Chow 1979He studied the case of two materials bonded with an adhesive in a DCB setup where the adhesive layer was regarded as the elastic foundation. He calculated the strain energy release rate using BEF and the fracture toughness based on the Dugdale model. Then he showed agreement with FEM simulations as well comparison between theory and experiments. Main outcomes were expressions for COD based on beam geometry, end displacement and loads.3. Kim 1988He analysed peeling of elasto-plastic films bonded on an elastic substrate under pure bending. He first obtained an expression for normalized peel force on a film by force and moment balance. Assuming the adherends behave elastically under small strain, he calculated the curvature to obtain equations for calculating the (x,y) coordinates of the bending film.4. Kinloch 1994He studied the effect of plastic bending of the peeling arm of the flexible laminate. He used large displacement beam theory to describe the deformation process and considering root rotation at the peel front. He then did peel test experiments with four different polymer films and peel angle was changes from 30deg to 180deg. Tensile tests were also performed. The experiments and theory were compared to prove that deformation due to bending plays a role in affecting the energy of the system. Effect of peel angle, thickness of the peeling arm and mode mixity were also studied.5. Wei 1998The interface strength does not play a factor in peeling in absence of plastic deformation. He studied the peel behavior assuming a cohesive zone model and taking plastic deformation into account. The effect of interface strength and peel angle on the load of peeling was analyzed.6. Parmigiani 2007They studied the phase angle to describe the partitioning between mode I and mode II fractures. ABAQUS simulations were done for mixed mode fracture with TSR formulation. Mode independent and mode-dependent fracture were studied to show the effect of fracture toughness, interface toughness and modulus mismatch.7. McMeeking 2014Peeling of elastic membrane tape adhered by a uniform TSR (constant stress and then zero). Force equilibrium and curvature analysis. Sliding was permitted for the tape being peeled from an end. Obtained equations relating force required to the TSR, beam geometry and stretch ratios in the tape.