Mechanical behavior analysis of size-dependent micro-scaled functionally graded Timoshenko beams by strain gradient elasticity theory

A review of continuum mechanics models for size-dependent analysis of beams and plates

“…Therefore, Tajalli et al [334] improved the previous strain gradient TBT model by accounting for the variation of the material length scale parameter across the beam thickness. Case studies on static bending and free vibration problems confirmed that the aforementioned assumption of constant material length scale parameters seems to be inaccurate [334].…”

Vibration analysis of self-healing hybrid composite beam under moving mass

“…They found that, crack in the beam structure can increase the maximum deflection of the loaded beam considerably. Similar investigation on the Timoshenko beam structure and Crack simulation in composite beam were studied in the few literatures [11][12][13][14][15]. Vibration analysis of cracked functionally graded beam was carried out by Kitipornchai et al [16].…”

Flexural wave propagation in small-scaled functionally graded beams via a nonlocal strain gradient theory

“…Often molecular dynamics (MD) simulations and continuum mechanics models are used to deal with the theoretical analysis and numerical simulations of small-scaled structures. Since MD simulation is complex and time consuming, continuum mechanics models are often used to predict of the mechanical characteristics and physical phenomenons of smallscaled structures, including classical continuum models [9][10][11][12][13] and nonlocal continuum theory [14][15][16][17][18][19][20][21][22][23][24][25][26][27][28], modified couple stress models [29][30][31][32][33][34][35][36][37][38][39] and strain gradient theory [40][41][42][43][44][45][46][47].…”