由于伸臂的合适的分析答案的缺席,为夫妇的横梁压力 / 紧张坡度 elasto 塑料的理论,伸臂的试验性的研究微笑在微规模不对材料长度规模的决心合适。基于夫妇压力 elasto 粘性,薄伸臂的一个分析答案微笑第一被介绍,并且答案能被认为是纯弯曲的有弹性、僵硬塑料的答案的延期横梁。有数字结果的比较证明当前的分析答案为 σ 0≪ 的盒子是可靠的H ≪ E 在 σ 0 是起始的收益力量的地方, H 是变硬的模量, E 是有弹性的模量。幸好,上述提及的条件能为许多金属材料满足,并且因此,答案能被用来与伸臂横梁的实验一起决定微观结构的材料长度规模在微规模。
Owing to the absence of proper analytical solution of cantilever beams for couple stress/strain gradient elasto-plastic theory, experimental studies of the cantilever beam in the micro-scale are not suitable for the determination of material length-scale. Based on the couple stress elasto-plasticity, an analytical solution of thin cantilever beams is firstly presented, and the solution can be regarded as an extension of the elastic and rigid-plastic solutions of pure bending beam. A comparison with numerical results shows that the current analytical solution is reliable for the case of σ0 〈〈 H 〈〈 E, where σ0 is the initial yield strength, H is the hardening modulus and E is the elastic modulus. Fortunately, the above mentioned condition can be satisfied for many metal materials, and thus the solution can be used to determine the material length-scale of micro-structures in conjunction with the experiment of cantilever beams in the micro-scale.