本文主要是介绍Viscoelastic material: Prony series in Abaqus_51CAE_新浪博客，希望对大家解决编程问题提供一定的参考价值，需要的开发者们随着小编来一起学习吧！
---- 原文来自 iMechanica (web of mechanics and mechanicians) and PolymerFEM.com
【ABAQUS viscoelastic Prony输入参数】
g_i (shear relaxation modulus ratio): 0.8
k_i (bulk relaxation modulus ratio): 0
tau_i(relaxation time): 1
【参考书籍】
"Viscoelastic properties of polymers" by John. D. Ferry .
"Viscoelastic solids" by R. S. Lakes.
"Continuum mechanics: elasticity, plasticity,viscoelasticity" by Ellis Harold Dill
"Polymer engineering science andviscoelasticity: an introduction" By Hal F.Brinson, L. Catherine Brinson
【转换公式】
bulk modulus of the material "K"
Young's Modulus of the Material "E"
the shear moduli for Prony series "mu1", "mu2" and "mu3"
the relaxation times "tau1" AND "tau2"
K=E/3(1-2v), mu(infinity)=E/2(1+v) and mu(i)=mu(infinity)*g(i)p
the values for Poisson's ratio "v"
values for "g(i)p"
【转换工具】
MCalibration can take DMA data and calibrate the Prony Series directly, which is what Abaqus ultimately will need.
【材料参数示例】
*Material, name=Mortar
*Elastic, moduli=instantaneous
2098.57851, 0.35
*Viscoelastic, time=PRONY
3.7568E-001, 0., 0.000115
2.7276E-001, 0., 0.000787
1.9427E-001, 0., 0.00538
1.0653E-001, 0., 0.0368
3.8469E-002, 0., 0.251
9.1862E-003, 0., 1.72
2.4574E-003, 0., 11.7
4.3744E-004, 0., 80.3
1.6211E-004, 0., 549.
4.4130E-005, 0., 3750.
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