Tributes to Mr Joseph, who worked for the minibus firm, have been paid on Facebook, with one friend saying: "We will meet again in heaven."
Three other victims were Karthikeyan Ramasubramaniyam Pugalur, Rishi Rajeev Kumar, and Vivek Bhaskaran.
They all worked for IT firm Wipro Ltd, along with Mano Ranjan Panneerselvam who was critically injured.
It is believed the minibus had travelled from the Nottingham area and police said some of its passengers were visiting the UK from India.
AIM Logistics and FedEx confirmed their lorries were involved in the crash.
AIM director Ismail Elmagdoub said: "We would like to express our deepest sympathy to the families who have lost loved ones and also those who have been injured at this very sad time.
"Road safety and compliance is of the utmost importance to AIM Logistics and we are continuing to assist the police as much as possible with their enquiries."
FedEx said its "deepest thoughts and concerns are with all of those involved".
The delivery company added: "Safety is of the utmost importance to FedEx, and we are cooperating fully with authorities but have no further information at this time."
