Mathematical modeling of plane-strain bending of sheet and plate

The bending moment and springback in pure bending of anisotropic sheets

“…Chakrabarty et al (2001) have studied the elastic-plastic bending of anisotropic sheets, Dadras (2001) has included an effect of strain hardening and dealt with initially curved sheets, the distribution of residual stresses in multi-layer sheets subjected to both thermal loading and external bending has been obtained in Hsueh et al (2003). The elastic-plastic solution at large strains given in Wang et al (1993) has the aforementioned drawback that the actual distribution of strain in the vicinity of the neutral line has been replaced with an approximate distribution. Even though such an approach significantly simplifies the solution, an effect of the simplification on the accuracy of the final result is unclear (Dadras and Majless, 1982).…”

“…A similar approach has been employed by Verguts and Sowerby (1975) to study the pure bending process of laminated sheets of rigid perfectly plastic and rigid plastic hardening materials. An effect of plastic anisotropy has been taken into account by Wang et al (1993) and Tan et al (1995) where, however, the accumulated strain in the constitutive equations has been replaced with the true strain of an element, i.e. an influence of the reverse straining on the constitutive behaviour in the vicinity of the neutral line has been neglected.…”

Three-Point Bending of Heat-Treatable Aluminum Alloys: Influence of Microstructure and Texture on Bendability and Fracture Behavior

“…The bendability is defined as the ratio between the minimum bending radius and the thickness of the test specimen without fracture occurring. [1][2][3][4] In 1960, Datsko and Yang [1] came up with a simple relationship between bendability and the reduction in area obtained by tensile testing. This empirical relationship, however, does not include any of the underlying microstructural mechanisms.…”

Methods to Investigate the Adhesion of Soft Nano‐Coatings on Metal Substrates – Application to Polymer‐Coated Stents

“…The plastic strain analysis of the bending process is complex and only a few works provide analytical formulas for specific plastic strain environments. [51,52] In most works, the strain rate was estimated by computer simulations. [53,54] Need for a New Test to Assess the Adhesion of Coatings for Stents None of the adhesion tests described above is directly applicable to the evaluation of the adhesion and coating properties of expanded stents.…”