A Hypoelastic Dynamic Constitutive Model to Account for the Hysteretic Behaviour of Soil Subjected to Cyclic Loads

Table 1

The whole integration procedure.

Step	Description
1	Given a dynamic stress amplitude , where
2	Judge the loading or unloading stage according to the following condition:
	(1) Initial loading stage: ,
	(2) Unloading stage:
	(3) Reloading stage:
3	Stress reversal judging stage:
	If , then go to Step 4
	Else, and go to Step 5
4	Calculate
	(1) , where α can be i, u, or r
	(2) ,
	(3) Record
	Go to Step 2
5	Calculate the new strain :
	(i) Initial loading stage:
	(1) Firstly, calculate
	(2) Then, , is the trial increment of the strain and given automatically by the program
	(ii) Unloading stage:
	(1) Firstly, calculate
	(2) Then,
	(iii) Reloading stage:
	(1) Firstly, calculate
	(2) Then,
	Let , , where α can be i, u, or r
	Go to Step 2